Question

Which expression is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot?
x Superscript five-thirds Baseline y
s Superscript five-thirds Baseline y Superscript one-third
x Superscript three-fifths Baseline y
x Superscript three-fifths Baseline y cubed

Answer 1

Cube root of x^5 y = (x^5 y)^{1/3} = (x^5)^{1/3} (y)^{1/3} = x^{5/3} y^{1/3}.

So the second choice (x^{5/3} y^{1/3}) is correct.