How do you simplify #(y ^ { 3} \cdot x ^ { - \frac { 1} { 5} } ) ^ { \frac { 5} { 3} }#?

1 Answer
Alan P.
Aug 13, 2017

#(y^3 * x^(-1/5))^(5/3)=color(red)((y^3)/(root(3)(x))#

Explanation:

#(y^3 * x^(-1/5))^(5/3)#

#color(white)("XXX")=(y^3)^(5/3) * (x^(-1/5))^(5/3)#

#color(white)("XXX")=y^5 * x^(-1/3)#

#color(white)("XXX")=y^5 * 1/(x^(1/3))#

#color(white)("XXX")=(y^5)/(root(3)(x))#

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