Algebra Examples

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

Step 1

Remove parentheses.

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

Step 2

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

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Step 2.1

Simplify the expression.

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Step 2.1.1

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

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

Step 2.1.2

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

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

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

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Cancel the common factor.

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

Step 2.2.2

Rewrite the expression.

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

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

Step 2.3

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

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

Step 2.4

Cancel the common factor of $4$ .

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Step 2.4.1

Factor $4$ out of $8$ .

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

Step 2.4.2

Cancel the common factor.

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

Step 2.4.3

Rewrite the expression.

$y = 2$

$y = 2$

$y = 2$

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