SOLUTION: What is a simpler form of the radical expression? 3sqrt343x^9y^24

Question 695974: What is a simpler form of the radical expression? 3sqrt343x^9y^24

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
$\sqrt[3]{343x^{9}y^{24}}$

$\sqrt[3]{7^3x^{3*3}y^{8*3}}$

$\sqrt[3]{7^3(x^3)^3(y^8)^3}$

$\sqrt[3]{(7xy^8)^3}$

$7xy^8$

So $\sqrt[3]{343x^{9}y^{24}}$ simplifies to $7xy^8$
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