Question

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

Answer 1

Answer:

Option c is correct $\frac{1}{81}$

Step-by-step explanation:

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

$(3^{2})^{-2}$

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

$9^{-2}\\\\\frac{1}{9^{2}}\\\\\frac{1}{81}$

Answer 2

Answer: 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:

$\frac{1}{3^{2}}^{2}$

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

 $\frac{1}{3^{4}}$

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

 $\frac{1}{81}$