Question

Which applies the power of a power rule to simplify the expression 8^12 3

Answer 1

B.

When you raise a number to a power, you multiply its current power with the one you're raising it to.

Answer 2

Option (b) is correct.

`(8^(12))^3=8^(12* 3)=8^(36)`

Explanation:

Given : the expression
`(8^(12))^3`

We have to simplify the given expression and choose the correct from the given options.

Consider the expression
`(8^(12))^3`

Using property of exponents,

`\left(a^b\right)^c=a^(b* c)`

We have,

`(8^(12))^3=8^(12* 3)=8^(36)`

Thus, Option (b) is correct.

`(8^(12))^3=8^(12* 3)=8^(36)`