Basic Math Examples

${(8000)}^{\frac{2}{3}}$

Step 1

Simplify the expression.

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Step 1.1

Rewrite

$8000$ as

$20^{3}$ .

${(20^{3})}^{\frac{2}{3}}$

Step 1.2

Apply the power rule and multiply exponents,

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

$20^{3 (\frac{2}{3})}$

$20^{3 (\frac{2}{3})}$

Step 2

Cancel the common factor of

$3$ .

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Step 2.1

Cancel the common factor.

$20^{3 (\frac{2}{3})}$

Step 2.2

Rewrite the expression.

$20^{2}$

$20^{2}$

Step 3

Raise

$20$ to the power of

$2$ .

$400$

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