How do you simplify ""^3sqrt{\frac{16x^5}{135y^4}}?

2 Answers
Mar 26, 2018

(2x)/(3y) 3sqrt((2x^2)/(5y))

Explanation:

3sqrt((16x^5)/(135y^4))

(2x)/(3y) 3sqrt((2x^2)/(5y))

Bc you can factor out a 2 from the cuberoot of 16 since 16=2^4 so 2^3 * 2^1 and you can factor a 3 out of the cuberoot of 135 since 135= 3^3 * 5^1

Rearrange all the powers and terms of the variables.

Explanation:

root(3)((16x^5)/(135y^4))

((16x^5)^(1/3))/((135y^4)^(1/3))

(2^(4/3)x^(5/3))/(3*5^(1/3)y^(4/3)

That's about as simplified as I can make it.