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]

Answer:

Step-by-step explanation:

Answer:

5^4