Simplify: ∛(-54x^7 y^5 )

Question

Simplify: ∛(-54x^7 y^5 )

 

 

that is a 3 before the square root symbol.

Answer 1

∛(-54x^7 y^5 )= [(-1)3³(2)x⁷y⁵]^1/3=-3(∛2)x^7/3y^5/3

 

Taking the nth root is the same as raising to the power 1/n. The exponent 1/3 distributes onto all the factors

with (-1)^1/3=-1 and (x⁷)^1/3=x^7/3 (you multiply the

exponents).