Precalculus Examples

${(a^{12})}^{\frac{4}{3}}$

Step 1

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

$a^{12 (\frac{4}{3})}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $12$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$a^{4 \cdot 4}$

Step 3

Multiply $4$ by $4$ .

$a^{16}$