Algebra Examples

${(\frac{5^{4}}{3^{6}})}^{\frac{1}{2}}$

Step 1

Raise $5$ to the power of $4$ .

${(\frac{625}{3^{6}})}^{\frac{1}{2}}$

Step 2

Raise $3$ to the power of $6$ .

${(\frac{625}{729})}^{\frac{1}{2}}$

Step 3

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

$\sqrt{{(\frac{625}{729})}^{1}}$

Step 4

Anything raised to $1$ is the base itself.

$\sqrt{\frac{625}{729}}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{\frac{625}{729}}$

Decimal Form:

$0.\overline{925}$