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prisoha [69]
3 years ago
14

Simplify the radical expression ^3sqrt 125x^9 y^12

Mathematics
1 answer:
Soloha48 [4]3 years ago
3 0

\bf \sqrt[3]{125x^9y^{12}}~~ \begin{cases} 125=5\cdot 5\cdot 5\\ \qquad 5^3\\ x^9=x^{3\cdot 3}\\ \qquad (x^3)^3\\ y^{12}=y^{4\cdot 3}\\ \qquad (y^4)^3 \end{cases}\implies \sqrt[3]{5^3(x^3)^3(y^4)^3}\implies 5x^3y^4

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