Question

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

Answer 1

Answer: OPTION C

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)=(1)/(a^(b))`

Therefore, applying this rules you obtain the following result:

`(3^(-2))^(4)=((1)/(3^(2)))^(4)`

`(1)/(3^(2*4))=(1)/(3^(8))`

Therefore, the answer is the option C.