Calculus Examples

$\frac{21}{{({(2)}^{2} + 21)}^{\frac{3}{2}}}$

Step 1

Raise $2$ to the power of $2$ .

$\frac{21}{{(4 + 21)}^{\frac{3}{2}}}$

Step 2

Add $4$ and $21$ .

$\frac{21}{25^{\frac{3}{2}}}$

Step 3

Rewrite $25$ as $5^{2}$ .

$\frac{21}{{(5^{2})}^{\frac{3}{2}}}$

Step 4

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{21}{5^{2 (\frac{3}{2})}}$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Cancel the common factor.

$\frac{21}{5^{2 (\frac{3}{2})}}$

Step 5.2

Rewrite the expression.

$\frac{21}{5^{3}}$

Step 6

Raise $5$ to the power of $3$ .

$\frac{21}{125}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{125}$

Decimal Form:

$0.168$