Algebra Examples

$2 {(x^{\frac{1}{3}})}^{\frac{6}{5}} \cdot y^{\frac{2}{3}}$

Step 1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$2 x^{\frac{1}{3} \cdot \frac{6}{5}} \cdot y^{\frac{2}{3}}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $6$ .

$2 x^{\frac{1}{3} \cdot \frac{3 (2)}{5}} \cdot y^{\frac{2}{3}}$

Step 2.2

Cancel the common factor.

$2 x^{\frac{1}{3} \cdot \frac{3 \cdot 2}{5}} \cdot y^{\frac{2}{3}}$

Step 2.3

Rewrite the expression.

$2 x^{\frac{2}{5}} \cdot y^{\frac{2}{3}}$

$2 x^{\frac{2}{5}} y^{\frac{2}{3}}$