Algebra Examples

$\frac{24}{4^{\frac{3}{2}}}$

Step 1

Simplify the denominator.

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Step 1.1

Rewrite $4$ as $2^{2}$ .

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

Step 1.2

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

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

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Cancel the common factor.

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

Step 1.3.2

Rewrite the expression.

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

Step 1.4

Raise $2$ to the power of $3$ .

$\frac{24}{8}$

Step 2

Divide $24$ by $8$ .

$3$