Simplify. $$ \sqrt[3]{12 u^{5}} \cdot \sqrt[3]{2 u^{2}} $$ Assume that the variable represents a positive real number.

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Calculate or simplify the expression $$ (12*u^5)^(1/3) * (2*u^2)^(1/3) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\left(12u^{5}ight)^{\frac{1}{3}}\left(2u^{2}ight)^{\frac{1}{3}}$$
- step1: Rewrite the expression:
  $$12^{\frac{1}{3}}u^{\frac{5}{3}}	imes 2^{\frac{1}{3}}u^{\frac{2}{3}}$$
- step2: Multiply the numbers:
  $$12^{\frac{1}{3}}	imes 2^{\frac{1}{3}}u^{\frac{5}{3}}	imes u^{\frac{2}{3}}$$
- step3: Multiply the terms:
  $$12^{\frac{1}{3}}	imes 2^{\frac{1}{3}}u^{\frac{7}{3}}$$
- step4: Simplify:
  $$\sqrt[3]{12}	imes \sqrt[3]{2}	imes u^{\frac{7}{3}}$$
- step5: Calculate:
  $$2u^{2}\sqrt[3]{3u}$$
The simplified form of $$ \sqrt[3]{12 u^{5}} \cdot \sqrt[3]{2 u^{2}} $$ is $$ 2u^{2}\sqrt[3]{3u} $$.
$$ 2u^{2}\sqrt[3]{3u} $$

Simplify.

Assume that the variable represents a positive real number.

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Simplify. Assume that the variable represents a positive real number.