Algebra Examples

${(a^{8})}^{\frac{3}{2}}$

Step 1

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

$a^{8 (\frac{3}{2})}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $8$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$a^{4 \cdot 3}$

Step 3

Multiply $4$ by $3$ .

$a^{12}$