Respuesta :
Answer:
[tex]5x^{-10}z^{10[/tex]
Step-by-step explanation:
Given
[tex]\frac{15x^{-3}z^5}{3x^7z^{-5}}[/tex]
Required
Evaluate
[tex]\frac{15x^{-3}z^5}{3x^7z^{-5}}[/tex]
Start by dividing 15 by 3
[tex]\frac{5x^{-3}z^5}{x^7z^{-5}}[/tex]
Apply the following law of indices on indices x and z
[tex]\frac{a^m}{a^n} = a^{m-n[/tex]
So, the expression becomes:
[tex]5x^{-3-7}z^{5-(-5)[/tex]
[tex]5x^{-3-7}z^{5+5[/tex]
[tex]5x^{-10}z^{10[/tex]