Calculus Examples

$\frac{24}{{({(5)}^{2} + 24)}^{\frac{3}{2}}}$

Step 1

Raise $5$ to the power of $2$ .

$\frac{24}{{(25 + 24)}^{\frac{3}{2}}}$

Step 2

Add $25$ and $24$ .

$\frac{24}{49^{\frac{3}{2}}}$

Step 3

Rewrite $49$ as $7^{2}$ .

$\frac{24}{{(7^{2})}^{\frac{3}{2}}}$

Step 4

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

$\frac{24}{7^{2 (\frac{3}{2})}}$

Step 5

Cancel the common factor of $2$ .

Tap for more steps...

Step 5.1

Cancel the common factor.

$\frac{24}{7^{2 (\frac{3}{2})}}$

Step 5.2

Rewrite the expression.

$\frac{24}{7^{3}}$

Step 6

Raise $7$ to the power of $3$ .

$\frac{24}{343}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{24}{343}$

Decimal Form:

$0.06997084 \dots$