2 Answers

Avgvstvs · Answer 1 · 2022-03-25T19:04:25+0000

Answer:

$5x^(-10)z^{10$

Explanation:

Given

(15x^(-3)z^5)/(3x^7z^(-5))

Required

Evaluate

(15x^(-3)z^5)/(3x^7z^(-5))

Start by dividing 15 by 3

(5x^(-3)z^5)/(x^7z^(-5))

Apply the following law of indices on indices x and z

$(a^m)/(a^n) = a^{m-n$

So, the expression becomes:

$5x^(-3-7)z^{5-(-5)$

$5x^(-3-7)z^{5+5$

$5x^(-10)z^{10$

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