Which expression is equivalent to (3^2)^-2 a.-81 b.-12 c.1/81 d.1/12

c.1/81

Step-by-step explanation:

1. The negative exponent indicates that (3²)² is actually in the denominator, thererfore,, you can rewrite the expression as it is shown below:

2.By the properties of exponents you raise a powers of powers, you must multiply the exponents shown, then:

3. Then. you obtain that the equivalent expression is:

Option c is correct

Step-by-step explanation:

We are given an expression and we find its equivalent by solving it

first solve 3^{2}which is equal to 3 * 3 = 9

22 and 22

step-by-step explanation:

10 plus 12 equals 22.

12 plus 10 also equals 22 because regardless of what order they're in, they're gonna equal the same thing.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .