Algebra Examples

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

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

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

Rewrite

100

$100$ as

10^{2}

$10^{2}$ .

{(10^{2})}^{\frac{1}{2}}

${(10^{2})}^{\frac{1}{2}}$

Step 1.2

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

10^{2 (\frac{1}{2})}

$10^{2 (\frac{1}{2})}$

10^{2 (\frac{1}{2})}

$10^{2 (\frac{1}{2})}$

Step 2

Cancel the common factor of

2

$2$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

$10^{2 (\frac{1}{2})}$

Step 2.2

Rewrite the expression.

$10^{1}$

$10^{1}$

Step 3

Evaluate the exponent.

$10$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$