Question

What is the simplified form of 72x^16/50x^36? Assume x ≠ 0.

A: 6/5x^10

B: 6/5x^2

C: 6/5 x^10

D: 6/5 x^2

(pretend it's in fraction form, also for the last two the x^10, and x^2, goes in between the 6 and 5)

Answer 1

option A

Explanation:

Answer 2

Given

`(72x^(16))/(50x^(36))`

This can be simplified as follows:

`(72x^(16))/(50x^(36))= (36x^(16))/(25x^(36)) \\ \\ = \frac{ \sqrt{36x^(16)} }{ \sqrt{25x^(36)} } = (6x^8)/(5x^(18)) \\ \\ = (6)/(5) x^(8-18)= (6)/(5) x^(-10) \\ \\ = (6)/(5x^(10))`

Option A is the correct answer.