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

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

User Tony Heupel
by
8.1k points

1 Answer

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)}

User Thiagofm
by
8.3k points
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