Question

How would I solve this using product of powers property?

Answer 1

The products of powers property means that the same properties of exponents apply for both positive and negative exponents. So (x/y)^m is equal to x^m/y^m would be an example.

Explanation:

(5^4)^3

Apply Exponent Rule: 5^4x3

Multiply Numbers: 5^12

Simplify Exponent: 244140625

Hope this helped :)

Answer 2

When you multiply an exponent directly to a base with an exponent, you multiply the exponents together.

For example:

`(x^4)^3=x^((4*3))=x^(12)`

`(2^1)^3=2^((1*3))=2^3=8`

`(5^4)^3=5^((4*3))=5^(12)` Your answer is 5^(12)