Question

How do you simplify `(4z ^ { 15} ) ^ { 3} z ^ { - 5}`?

Answer 1

Use the method of Algebra to simplify the exponents of the terms within the variables, and cross the corresponding terms out.

Explanation:

`(4z^15)^3z^-5`

First, get rid of the parentheses by distributing the cubic unit to the terms within the parentheses.

`=(64z^45)z^-5`

Now, since the bases of the exponents are the same, we can combine them together using simple subtraction.

`=64z^40`