Question

Simplify (3^-2)^4 A. 3^8 B. 1/3^2 C. 1/3^8 D. 3^2

Answer 1

Answer: OPTION C

Step-by-step explanation:

By the powers to powers rule you have that:

$(a^m)^{n}=a^{m*n}$

By the negative exponents rule, you have that:

$a^{-b}=\frac{1}{a^{b}}$

Therefore, applying this rules you obtain the following result:

 $(3^{-2})^{4}=(\frac{1}{3^{2}})^{4}$

$\frac{1}{3^{2*4}}=\frac{1}{3^{8}}$

Therefore, the answer is the option C.