Algebra Examples

100^{\frac{1}{2}}

$100^{\frac{1}{2}}$

Step 1

Apply the rule

x^{\frac{m}{n}} = \sqrt[n]{x^{m}}

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

\sqrt{100^{1}}

$\sqrt{100^{1}}$

Step 2

Anything raised to

1

$1$ is the base itself.

\sqrt{100}

$\sqrt{100}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\sqrt{100}

$\sqrt{100}$

Decimal Form:

10

$10$