Algebra Examples

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

Step 1

Reduce the expression $\frac{2}{4}$ by cancelling the common factors.

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Step 1.1

Factor $2$ out of $2$ .

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

Step 1.2

Factor $2$ out of $4$ .

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

Step 1.3

Cancel the common factor.

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

Step 1.4

Rewrite the expression.

$9^{\frac{1}{2}}$

Step 2

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\sqrt{9^{1}}$

Step 3

Anything raised to $1$ is the base itself.

$\sqrt{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{9}$

Decimal Form:

$3$