Question

Which expression is equivalent to (a^8)^4

A. a^2
B. a^4
C. a^12
D. a^32

Answer 1

When you have two exponents and you are multiplying you have to multiply the exponents so you have to:

8*4=32


Therefore the answer is D: a^32

Answer 2

`D. \ \boxed{a^(32)}`

Explanation:

`(a^(8))^(4)=a^(8\cdot4)=a^(32)`

because

`(a^(x))^(y)=a^(x\cdot y)`