Algebra Examples

${(5^{\frac{3}{4}})}^{\frac{2}{3}}$

Step 1

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

$5^{\frac{3}{4} \cdot \frac{2}{3}}$

Step 2

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

$5^{\frac{3}{4} \cdot \frac{2}{3}}$

Step 2.2

Rewrite the expression.

$5^{\frac{1}{4} \cdot 2}$

Step 3

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.1

Factor $2$ out of $4$ .

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

Step 3.2

Cancel the common factor.

$5^{\frac{1}{2 \cdot 2} \cdot 2}$

Step 3.3

Rewrite the expression.

$5^{\frac{1}{2}}$