What is \sqrt[3]{2x^8}*\sqrt[3]{16x^9} ?

The solution to \sqrt[3]{2x^8}*\sqrt[3]{16x^9} is 2\sqrt[3]{2^2}x^5\sqrt[3]{x^2}

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simplify \sqrt[3]{2x^8}*\sqrt[3]{16x^9}

simplify

Solution steps

Simplify

Apply radical rule:

2^{\frac{1}{3}} \cdot 2^{\frac{1}{3}} = 2^{\frac{2}{3}}

Simplify

x^{2} x^{3} : x^{5}

2^{\frac{2}{3}} \cdot 2 = 2^{\frac{5}{3}}

2^{\frac{5}{3}} = 2 \cdot 2^{\frac{2}{3}}

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What is \sqrt[3]{2x^8}*\sqrt[3]{16x^9} ?
The solution to \sqrt[3]{2x^8}*\sqrt[3]{16x^9} is 2\sqrt[3]{2^2}x^5\sqrt[3]{x^2}