Helppp simplify (3^-2)^4

Helppp Simplify (3^-2)^4

Answers

Answer 1

For this case we must simplify the following expression:

[tex](3 ^ {-2}) ^ 4[/tex]

By definition of power properties we have to:[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

So, rewriting the expression we have:

[tex](\frac {1} {3 ^ 2}) ^ 4 = \frac {1 ^ 4} {(3 ^ 2) ^ 4} = \frac {1} {(3 ^ 2) ^ 4}[/tex]

By definition of power properties we have:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

So:

[tex]\frac {1} {(3 ^ 2) ^ 4} = \frac {1} {3 ^ 8}[/tex]

Answer:

Option D


Related Questions

anwser asap 50 points
What are the dimensions of the matrix?
[1 0 7 -5 9 ]
[-2 3 10 8 5]


Enter your answers in the boxes.

The matrix is a
×
matrix.

Answers

Answer:

[1, 5]

Step-by-step explanation:

Here I see ONE row and FIVE columns, so the dimensions are [1, 5].

Answer:  2,5

Step-by-step explanation:

Find the domain of the graph function.

Answers

The domain is the set of feasible inputs, i.e. the x-coordinates in which you can evaluate the function.

We can see that this function is defined only for x values between -1 and 3 (included), so this is your domain.

Answer:

C. [tex]-1\leq x\leq 3[/tex].

Step-by-step explanation:

We have been given graph of a function. We are asked to find the domain of our given function.

We know that domain of a function is all values of x for which our given function is defined.

We can see that our given function is defined for values of x that are greater than or equal to [tex]-1[/tex] and less than or equal to 3.

Therefore, the domain of our given function would be [tex]-1\leq x\leq 3[/tex] and option C is the correct choice.

What percent of 700 is 14 ?

Answers

Answer:

2%

Step-by-step explanation:

We are to find out what percentage of 700 is 14.

Assuming [tex] x [/tex] to be the percent of 700 which is 14, we can write it as:

[tex] \frac { x } { 100 } \times 700 = 14 [/tex]

[tex] \frac { x } {100} = \frac {14} {700} [/tex]

[tex] \frac { x } { 1 0 0 } = 0.02 [/tex]

[tex]x=0.02 \times 100[/tex]

[tex]x=2[/tex]

Therefore, 14 is 2% of 700.

Find the measure of CD. Round to the nearest tenth.
PLEASE HELP!!

Answers

The measure of arc CD is 88.8°

In circle geometry , there are certain theorems that guides the solving of problem involving circles.

Some of the theorems are ;

angle at the center is twice angle at the circumference.

The measure of arc is the measure of angle substended at the centre.

Using trigonometric ratio to get the angle at the center.

sinX = 6.35/9.06

sinX = 0.70

X = 44.4°

angle at the centre = 2 × 44.4

= 88.8°

Therefore, arc CD is 88.8°

I am a two dimensional shape that has less than 4 sides. All of my sides are straight. What shape am I.

Answers

Rhombus.? I think? I'm not sure

What is (-6-4)divided by(-5)=

Answers

= -2? i dont really know either

Answer: 2

Step-by-step explanation:

-6-4=-10 -10/-5=2

help!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

64π

Step-by-step explanation:

8²·π = 64π

ANSWER

201.06 square units.

EXPLANATION

The area of a circle is calculated using the formula,

[tex]Area = \pi \: {r}^{2} [/tex]

The given circle has radius, r=8 units.

We substitute the radius into the formula to obtain:

[tex]Area = \pi \times {8}^{2} [/tex]

The exact area is 64π square units.

When we substitute π=3.14, we get,

Area=201.06 units square.

Please help!!!!


How many more pieces of mail were handled by the United States postal service in 1995 than in 1965? Express your answer in scientific notation.

Answers

Answer:

1.08×10^11

Step-by-step explanation:

1.08 times 10 to the power of 11

The number of pieces of mail in 1995 more than 1965 by = 1.08 * [tex]10^{11}[/tex]

What is exponents and powers?

Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times. Exponent is the number to which a number is raised so as to define its power as a whole expression.

In 1995 : 1.8 * [tex]10^{11 }[/tex]

In 1965: 7.2 * [tex]10^{10 }[/tex]

So, the difference will be

= 1.8 * [tex]10^{11 }[/tex]  - 7.2 * [tex]10^{10 }[/tex]

= 1.8 * [tex]10^{10}*10[/tex] - 7.2 * [tex]10^{10 }[/tex]

=18 * [tex]10^{10 }[/tex] - 7.2 * [tex]10^{10 }[/tex]

= (18-7.2)  * [tex]10^{10 }[/tex]

=10.8  * [tex]10^{10 }[/tex]

= 1.08 * [tex]10^{11}[/tex]

Hence, the number of pieces of mail in 1995 more than 1965 by = 1.08 * [tex]10^{11}[/tex]

Learn more about this concept here:

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a home owner has 5 zucchini plants in her garden. Over the course of the season, the yields( number of zucchini’s per plant) are:

Answers

Answer:

5 zucchini plants

Step-by-step explanation:

Answer: the answer will be 5(x)=x


What is the solution to the equation?      
x – 19 = 1

Answers

Answer:

x=20

Step-by-step explanation:

you first got to get x by itself so + 19 on each side of the equal signs which gets rid of the -19 on the left side of the equal and it adds 19 on the right side of the equal making the answer x=20

The solution of the equation with a single variable 'n' x – 19 = 1 will be 20.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

x – 19 = 1

The degree of the equation is one. Then the equation is a linear equation. Simplify the equation, then we have

x – 19 = 1

x = 1 + 19

x = 20

The solution of the equation with a single variable 'n' x – 19 = 1 will be 20.

More about the solution of the equation link is given below.

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which equations are equivalent to 3/4+m=-7/4 check all that apply m=10/4 m=-10/4 m=-5/2 11/4+m=-1/4 -5/4+m=-15/4 m+2=-0.5 Help fast!!!!!!!!

Answers

Answer:

The correct choices are; B,C,E, and F.

Step-by-step explanation:

The given equation is;

[tex]\frac{3}{4}+m=-\frac{7}{4}[/tex]

We solve for m to obtain:

[tex]m=-\frac{7}{4}-\frac{3}{4}=-2.5[/tex]

We also solve the remaining equations to see which ones give the same result.

A: [tex]m=\frac{10}{4} =2.5[/tex]

B:[tex]m=-\frac{10}{4} =-2.5[/tex]

C:[tex]m=-\frac{5}{2} =-2.5[/tex]

D: [tex]\frac{11}{4}+m=-\frac{1}{4}[/tex]

[tex]m=-\frac{1}{4}-\frac{11}{4}=-3[/tex]

E: [tex]-\frac{5}{4}+m=-\frac{15}{4}[/tex]

[tex]m=-\frac{15}{4}+\frac{5}{4}=-2.5[/tex]

F: [tex]m+2=-0.5[/tex]

[tex]m=-0.5-2=-2.5[/tex]

The equivalent equations are; B,C,E, and F.

Answer:

[tex]m=-\frac{10}{4}[/tex]

[tex]m=-\frac{5}{2}[/tex]

[tex]-\frac{5}{4}+m=-\frac{15}{4}[/tex]

[tex]m+2=-0.5[/tex]

Step-by-step explanation:

Given equation,

[tex]\frac{3}{4}+m=-\frac{7}{4}[/tex]

[tex]\implies m = -\frac{7}{4}-\frac{3}{4}=\frac{-7-3}{4}=-\frac{10}{4}=-\frac{5}{2}[/tex],

Since, [tex]\frac{10}{4}\neq -\frac{5}{2}[/tex]

[tex]\frac{11}{4}+m = -\frac{1}{4}[/tex]

[tex]\implies m = -\frac{1}{4}-\frac{11}{4}=\frac{-1-11}{4}=-\frac{12}{4}=-3\neq -\frac{5}{2}[/tex]

[tex]-\frac{5}{4}+m=-\frac{15}{4}\implies m = -\frac{15}{4}+\frac{5}{4}=\frac{-15+5}{4}=-\frac{10}{4}[/tex]

[tex]m+2=-0.5\implies m = -0.5-2\implies m = -2.5=-\frac{5}{2}[/tex]

If the dimensions of a rectangular garden can be represented by (2x+11) and (3x+5), then what is the area of the garden?

Answers

Answer: 6x^2+43x+55

Area=L*W

Area=(2x+11)(3x+5)=x^2+33x+10x+55

Area=6x^2+43x+55

Answer:

the area of the garden would be 6x^+43x+55

Please just help me​

Answers

Answer:

We can see here that the two sides of both triangle are equal to each other, therefore both triangles are isosceles triangles.

And also the two chords are parallel to each other, which let us know that:

b° = 40°

We also proved that that triangle is an isosceles triangle so:

b° = c° = 40°

Which makes it possible to calculate d°:

b° + c° + d° = 180°

40° + 40° + d° = 180°

d°                    = 180° - 40° - 40°

d°                    = 100°

Not sure if my thinking process make sense, but I'm quite sure about the answers.

If two angles of one triangle are congruent to two angles of another triangle, then the _____ are congruent.

Answers

Answer:

TRIANGLES

Step-by-step explanation:

What is the value of X?

Answers

Answer:

I think B. 10 2/3

Step-by-step explanation:

I haven't learned this yet but out of experience i think this is how you solve it. Find out the ratio of 18 to 8 by dividing 18/8 to get 2.25. then multiply this by 24 to get 10.66 repeated which equals to 10 and 2/3.

What is the product of d – 9 and 2d2 + 11d – 4?

Answers

The answer to your question is 2d^3-7d^2-103d+36

Answer:

[tex]2d^3-7d^2-103d+36[/tex]

Step-by-step explanation:

The given expressions are (d-9) and [tex]2d^2+11d-4[/tex].

Their product is given by:

[tex](d-9)(2d^2+11d-4)[/tex]

We expand using the distributive property to obtain;

[tex]d(2d^2+11d-4)-9(2d^2+11d-4)[/tex]

[tex]2d^3+11d^2-4d-18d^2-99d+36[/tex]

We group similar terms to get;

[tex]2d^3+11d^2-18d^2-4d-99d+36[/tex]

We combine the similar terms to get:

[tex]2d^3-7d^2-103d+36[/tex]

how to solve for X

4/X=12/7.5

Answers

Answer:

x = 2.5

Step-by-step explanation:

Given

[tex]\frac{4}{x}[/tex] = [tex]\frac{12}{7.5}[/tex] = 1.6

Multiply both sides by x

4 = 1.6x ( divide both sides by 1.6 ), hence

x = 2.5

The surface area of a sphere is 576pi square units. Which choice represents the volume of the sphere?

Answers

Answer:

[tex]\large\boxed{V=2304\pi}[/tex]

Step-by-step explanation:

The formula of a surface area of a sphere:

[tex]S.A.=4\pi R^2[/tex]

R - radius

We have

[tex]S.A.=576\pi[/tex]

Substitute and solve for R:

[tex]4\pi R^2=576\pi[/tex]         divide both sides by π

[tex]4R^2=576[/tex]          divide both sides by 4

[tex]R^2=144\to R=\sqrt{144}\\\\R=12[/tex]

The formula of a volume of a sphere:

[tex]V+\dfrac{4}{3}\pi R^3[/tex]

Substitute:

[tex]V=\dfrac{4}{3}\pi(12^3)=\dfrac{4}{3}\pi(1728)=(4)\pi(576)=2304\pi[/tex]

can someone show me how to do this step by step? it deals with area, and i'm not very good at math in general. thank you!!

Answers

The area of a circle when you know the radius is found using the formula Area = PI x r^2

The small circle has a radius of  7 inches.

The area of the small circle is 3.14 x 7^2 = 3.14 x 49 = 153.86 square inches.

Using the circumference of a circle use the formula Area = C^2 / 4*PI

Area of larger circle = 113.097^2 / 4 *3.14 = 12790.93141 / 12.56 = 1018.39 square inches.

Now to find the blue area subtract the area of the smaller circle from the larger one:

1018.39 - 153.86 = 864.53 square inches.

Is urgent and will mark brainliest.

What is √33?
Place a dot on the number line at the best approximation.

Please and Thank you!!​

Answers

Answer:

≈ 5.7

Explanation:

Place the dot at the 7th notch after 5

Hope this helps! :)

~ 5.74 place the dot 3 lines before the 6

What is the measure of each interior angle of a regular polygon with 5 sides?

Answers

108 degrees because of the equation 180(n-2)/n. 180(5-2)/5= 540/5= 108.

ANSWER

108°

EXPLANATION

The measure of each interior angle of a regular polygon is given by

[tex] \theta = \frac{(n - 2) \times 180}{n} [/tex]

where n refers to the number of sides of the polygon.

From the question we have n=5 in this case.

We substitute to obtain;

[tex]\theta = \frac{(5 - 2) \times 180}{5} [/tex]

[tex]\theta = \frac{3\times 36}{1} [/tex]

This simplifies to:

[tex]\theta = 108 \degree[/tex]

Hence each interior angles of a regular polygon with 5 - sides is 108°

75 POINTS!!!!!!!HELP ASAP WILL GIVE BRAINLIEST PLS BE FAST! What is the value of 3^2/3^4 ? A. 1/81 B. 1/27 C. 1/9 D. 1/3

Answers

Answer: the answer is 1/9

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

3²/3⁴ = 3²⁻⁴ = 3⁻² = 1/3² = 1/9

according to the rule of indices

You ride an express bus from the center of town to your street. You have two payment options. Option a is to buy a monthly pass and pay $2 per ride. Option b is to pay $4.50 per ride. A monthly pass costs $50. After how many rides will the total costs of the two options be the same ? Write a system of equations in order to solve this problem.

Answers

Answer:

I think the answer is 12 rides

Final answer:

After setting up a system of equations with Option A as C = 50 + 2x and Option B as C = 4.5x, we find that after 20 rides, the total costs for both options are the same.

Explanation:

To determine after how many rides the total costs of the two payment options will be the same for the express bus from the center of town, we can set up a system of equations. Option A includes a monthly pass costing $50 plus $2 per ride, and Option B is a flat rate of $4.50 per ride.

Let's define x to be the number of rides. Then for Option A, the cost will be $50 (monthly pass) plus $2 multiplied by x, which can be expressed as the equation C = 50 + 2x. For Option B, the cost is simply $4.50 multiplied by x, which can be written as C = 4.5x.

To find out after how many rides the costs are the same, we set the equations equal to each other: 50 + 2x = 4.5x. Solving for x, we get x = 20. After 20 rides, the total costs for both options A and B will be the same.

CAN ANYONE HELP ME ANSWER THIS PLEASE​

Answers

Answer:

3/10 * 3/10 = 9/100

Step-by-step explanation:

First chance to draw pink is 3 out of 10. replace the marble then I have another 3 out of 10 chance.

find the slope of the line that passes through the points (0,0) and (-2,-3)

Answers

[tex]

s=\frac{\Delta{y}}{\Delta{x}}=\frac{-3-0}{-2-0}=\boxed{\frac{3}{2}}

[/tex]

Hope this helps.

r3t40

For this case we have that by definition, the slope of a line is given by:

[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]

Where:

[tex](x_ {1}, y_ {1})\\(x_ {2}, y_ {2})[/tex]

They are two points through which the line passes.

We have as data that:

[tex](x_ {1}, y_ {1}) :( 0,0)\\(x_ {2}, y_ {2}): (- 2, -3)[/tex]

Substituting:

[tex]m = \frac {-3-0} {- 2-0}\\m = \frac {-3} {- 2}\\m = \frac {3} {2}[/tex]

Thus, the slope of the line is [tex]\frac {3} {2}[/tex]

Answer :

[tex]m = \frac {3} {2}[/tex]

Which expression is equivalent for this

Answers

Answer: Option A

Step-by-step explanation:

Remember that

[tex]+ * - = -\\- * + = -\\+ * + = +\\- * - = +\\[/tex]

We have the expression

[tex]\frac{1}{2}x + (-7)-2*\frac{1}{4}-(-2)[/tex]

Solve first the multiplication of signs

[tex]\frac{1}{2}x + (-7)-2\frac{1}{4}x-(-2)\\\\\frac{1}{2}x -7-2\frac{1}{4}x+2\ \ \ \ \ \ \ \ Note:\ 2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}\\\\\frac{1}{2}x -\frac{9}{4}x-7+2\ \ \ \ \ \ \ \ Note:\ \frac{1}{2}-\frac{9}{4}=-\frac{7}{4}=-1\frac{3}{4}\\\\-1\frac{3}{4}x -5[/tex]

6x-3 <-9 can someone help me asap

Answers

Answer:

x<-1

Step-by-step explanation:

6x-3 <-9

Add 3 to each side

6x-3+3 <-9+3

6x < -6

Divide by 6

6x/6 < -6/6

x < -1

Answer:

x<-1

Step-by-step explanation:

6x-3<-9

Add 3

6x<-6

-6/6=-1

x<-1

Can someone please help me find DC?

Answers

[tex]\bf \stackrel{\measuredangle A}{(5x-14)}+\stackrel{\measuredangle D}{(4x+5)}=\stackrel{\textit{linear angles}}{180}\implies 9x-9=180 \\\\\\ 9x=171\implies x=\cfrac{171}{9}\implies x=19 \\\\[-0.35em] ~\dotfill\\\\ \overline{DC}\implies -2x+54\implies -2(19)+54\implies -38+54\implies 16[/tex]

Answer:

DC = 12

Step-by-step explanation:

In a parallelogram consecutive angles are supplementary, that is

∠DAB and ∠ADC are consecutive and supplementary, thus

5x - 14 + 4x + 5 = 180

9x - 9 = 180 ( add 9 to both sides )

9x = 189 ( divide both sides by 9 )

x = 21

Hence

DC = - 2x + 54 = (- 2 × 21) + 54 = - 42 + 54 = 12

1. A transformation is an operation that ________, or moves, a preimage (original) onto an image.

A. traces

B. maps

C. copies

D. images

2. Which term describes the number of times a wave is translated in one second?

A. period

B. amplitude

C. sine

D. frequency

3. A shoe box has a volume of 64 cubic inches and a surface area of 160 square inches. What is the surface area of a similar shoe box if its volume is only 27 cubic inches? Show your work or explain how you got your answer.

Answers

Have you found out the answer

1. A transformation is an operation that  traces or moves, a preimage (original) onto an image.

2.The term describes the number of times a wave is translated in one second is frequency.

What is transformation and frequency?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Frequency is defines as the  number of times a wave is translated in one second.

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Find the missing value for the exponential function represented by the table below x -2 -1 0 1 2 y 29 20.3 14.21 6.9629

Answers

Final answer:

To find the missing value, divide two consecutive y-values to determine the constant factor. Multiply the last given value by the factor to obtain the missing value.

Explanation:

To find the missing value for the exponential function represented by the given table, we need to observe the pattern of the function.

The given pattern is:

x   -2    -1       0          1           2

y  29  20.3  14.21   6.9629

In this case, we can see that each value of y is obtained by multiplying the previous value by a constant factor.

To determine this factor, we can divide any two consecutive y-values.

For example, dividing 14.21 by 20.3 gives us approximately 0.6988.

So, the missing value can be found by multiplying the last given y-value (6.9629) by this factor.

Hence, the missing value is approximately 4.8616.

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