How do you write $root3(x^2y)$ as an exponential form?

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Answer 1 · 2016-02-09T04:11:16

$x^(2/3)$ * $y^(1/3)$

Please remember $root(n)x$ is written as $x^(1/n)$ in exponential form

Hence $root(3)(x^2y)$ can written as $(x^2y)^(1/3)$

As $(x^a)^b$ is nothing but $x^(a*b)$

$root(3)(x^2y)$ = $(x^2y)^(1/3)$

= $x^(2*(1/3))$ * $y^(1/3)$

= $x^(2/3)$ * $y^(1/3)$

How do you write root3(x^2y)root3(x^2y) as an exponential form?