Question

Quick Question! Please help!

Simplify using the rules of exponents:
b^4 x (b^2) ^6

A) b^12
B) b^48
C) b^16
D) b^68

Answer 1

C

Explanation:

Whenever you see a variable with an exponent (in parentheses) with another exponent (outside of the parentheses), you need to multiply them together.

`2 * 6 = 12`

Now that we only have b^4 x b^12, you might think we need to multiply the exponents again, but that would be wrong.

The only case where you should be multiplying exponents would be in the case of the first step.

Instead, we need to add them.

`{ b}^(4 + 12 = 16)`

Now we know our answer is C.