Question

Which expression is equivalent to 15x^-3z^5/3x^7z^-5 please answer spr fast

Answer 1

Explanation:

Answer:

5^4

Answer 2

`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`