Algebra Examples

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

Step 1

Apply the product rule to $x y^{\frac{2}{3}}$ .

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

Step 2

Multiply the exponents in ${(y^{\frac{2}{3}})}^{\frac{1}{2}}$ .

Tap for more steps...

Step 2.1

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

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

Step 2.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.2.1

Cancel the common factor.

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

Step 2.2.2

Rewrite the expression.

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