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\[\large \sqrt[3]{x^2}*\sqrt[4]{x}= x^{2/3}*x^{1/4} = x^{(2/3)+(1/4)}\]
first simplify \[\large \frac{2}{3}+\frac{1}{4}\]
good job :) this is now the exponent of your base x.
|dw:1370501661566:dw| so your outer power is the power of your radical (or square root) and the inner power is the one that multiplies to your base "x"
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