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

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Answer 1 · 2017-07-22T02:06:42

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

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

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.

$=64z^40$

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