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

1 Answer
Jul 22, 2017

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#