Algebra Examples

${(9^{\frac{1}{4}})}^{\frac{7}{2}}$

Step 1

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

$9^{\frac{1}{4} \cdot \frac{7}{2}}$

Step 2

Multiply $\frac{1}{4} \cdot \frac{7}{2}$ .

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Step 2.1

Multiply $\frac{1}{4}$ by $\frac{7}{2}$ .

$9^{\frac{7}{4 \cdot 2}}$

Step 2.2

Multiply $4$ by $2$ .

$9^{\frac{7}{8}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$9^{\frac{7}{8}}$

Decimal Form:

$6.83852117 \dots$