Write \sqrt[3]{x^(2) y^(2) } using fractional exponents.

asked Jan 10, 2021 140k views

2 votes

Write
$\sqrt[3]{x^(2) y^(2) }$ using fractional exponents.

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6 votes

Answer:

$x^{(2)/(3)}y^{(2)/(3)}$

Explanation:

$\sqrt[3]{x^(2)y^(2)} = (x^(2)y^(2))^{(1)/(3)}\\\\\\$

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

Thiagofm answered Jan 16, 2021

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