Basic Math Examples

100^{\frac{5}{2}}

$100^{\frac{5}{2}}$

Step 1

Simplify the expression.

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Step 1.1

Rewrite

100

$100$ as

10^{2}

$10^{2}$ .

{(10^{2})}^{\frac{5}{2}}

${(10^{2})}^{\frac{5}{2}}$

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{5}{2})}

$10^{2 (\frac{5}{2})}$

10^{2 (\frac{5}{2})}

$10^{2 (\frac{5}{2})}$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Cancel the common factor.

$10^{2 (\frac{5}{2})}$

Step 2.2

Rewrite the expression.

$10^{5}$

$10^{5}$

Step 3

Raise

$10$ to the power of

$5$ .

$100000$

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