Algebra Examples

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

Step 1

Apply the product rule to $x^{3} y^{4}$ .

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

Step 2

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

Tap for more steps...

Step 2.1

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

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

Step 2.2

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.2.1

Cancel the common factor.

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

Step 2.2.2

Rewrite the expression.

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

Step 3

Multiply the exponents in ${(y^{4})}^{\frac{2}{3}}$ .

Tap for more steps...

Step 3.1

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

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

Step 3.2

Multiply $4 (\frac{2}{3})$ .

Tap for more steps...

Step 3.2.1

Combine $4$ and $\frac{2}{3}$ .

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

Step 3.2.2

Multiply $4$ by $2$ .

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