Algebra Examples

${(a^{\frac{1}{2}})}^{\frac{3}{2}}$

Step 1

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

$a^{\frac{1}{2} \cdot \frac{3}{2}}$

Step 2

Multiply $\frac{1}{2} \cdot \frac{3}{2}$ .

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Step 2.1

Multiply $\frac{1}{2}$ by $\frac{3}{2}$ .

$a^{\frac{3}{2 \cdot 2}}$

Step 2.2

Multiply $2$ by $2$ .

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