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

2 Answers
Mar 26, 2018

Answer:

#(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#

Answer:

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.