Question

Which expression is equivalent to a(^8)^4? a a2 b a4 c a12 d a32

Answer 1

Assuming you meant (a^8)^4 = a^32
The rule for exponents in this case is multiplication.

Answer 2

We have been given the expression
`(a^8)^4`.

To solve this problem we will use one of the rules of the exponents called the Power Rule.

The power rule states that:

`(x^m)^n=x^(m* n)=x^(mn)`

In our case, x=a and the powers involved are m=8 and n=4.

Therefore, applying the power rule to the case given in our question we get:

`(a^8)^4=a^(8* 4)=a^(32)`.

Therefore, Option D which says
`\boldsymbol{a^(32)}` is the correct option.