Algebra Examples

${(x^{2} y^{8})}^{\frac{2}{3}}$

Step 1

Apply the product rule to $x^{2} y^{8}$ .

${(x^{2})}^{\frac{2}{3}} {(y^{8})}^{\frac{2}{3}}$

Step 2

Multiply the exponents in ${(x^{2})}^{\frac{2}{3}}$ .

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Step 2.1

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

$x^{2 (\frac{2}{3})} {(y^{8})}^{\frac{2}{3}}$

Step 2.2

Multiply $2 (\frac{2}{3})$ .

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Step 2.2.1

Combine $2$ and $\frac{2}{3}$ .

$x^{\frac{2 \cdot 2}{3}} {(y^{8})}^{\frac{2}{3}}$

Step 2.2.2

Multiply $2$ by $2$ .

$x^{\frac{4}{3}} {(y^{8})}^{\frac{2}{3}}$

Step 3

Multiply the exponents in ${(y^{8})}^{\frac{2}{3}}$ .

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Step 3.1

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

$x^{\frac{4}{3}} y^{8 (\frac{2}{3})}$

Step 3.2

Multiply $8 (\frac{2}{3})$ .

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Step 3.2.1

Combine $8$ and $\frac{2}{3}$ .

$x^{\frac{4}{3}} y^{\frac{8 \cdot 2}{3}}$

Step 3.2.2

Multiply $8$ by $2$ .

$x^{\frac{4}{3}} y^{\frac{16}{3}}$