Question

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

Answer 1

a^32  you raise a power to a power and multiply the exponents

Answer 2

The equivalent expression to the given expression
`(a^8)^4` is
`a^(32)`

Explanation:

Given expression is
`(a^8)^4`

We have to find an equivalent expression to the given expression
`(a^8)^4`

Consider the given expression
`(a^8)^4`

Applying property of exponent
`(a^m)^n=a^(m\cdot n)`

We have,

`(a^8)^4=(a)^(8\cdot 4)`

Simplify, we get,

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

Thus, the equivalent expression to the given expression
`(a^8)^4` is
`a^(32)`