Question

Which expression is equivalent to (x Superscript four-thirds Baseline x Superscript two-thirds Baseline) Superscript one-third?
x Superscript two-ninths
x Superscript two-thirds
x Superscript eight-ninths

Answer 1

(x^{4/3} x^{2/3})^{1/3} = (x^{4/3+2/3})^{1/3} = (x^{6/3})^{1/3} = (x^2)^{1/3} = x^{2/3}.

So the equivalent expression is x^{2/3}.