Precalculus Examples

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

Step 1

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

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $4$ .

$u^{\frac{3}{2} \cdot \frac{2 (2)}{5}}$

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

Combine $3$ and $\frac{2}{5}$ .

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

Step 4

Multiply $3$ by $2$ .

$u^{\frac{6}{5}}$