Algebra Examples

$\frac{1}{4} {(4)}^{\frac{3}{2}}$

Step 1

Simplify the expression.

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Step 1.1

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

$\frac{1}{4} \cdot {(2^{2})}^{\frac{3}{2}}$

Step 1.2

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

$\frac{1}{4} \cdot 2^{2 (\frac{3}{2})}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$\frac{1}{4} \cdot 2^{2 (\frac{3}{2})}$

Step 2.2

Rewrite the expression.

$\frac{1}{4} \cdot 2^{3}$

Step 3

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

$\frac{1}{4} \cdot 8$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Factor $4$ out of $8$ .

$\frac{1}{4} \cdot (4 (2))$

Step 4.2

Cancel the common factor.

$\frac{1}{4} \cdot (4 \cdot 2)$

Step 4.3

Rewrite the expression.

$2$