Precalculus Examples

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

Step 1

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

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

Step 2

Multiply $\frac{3}{4} \cdot 5$ .

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Step 2.1

Combine $\frac{3}{4}$ and $5$ .

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

Step 2.2

Multiply $3$ by $5$ .

$a^{\frac{15}{4}}$