Algebra Examples

- {(\frac{y^{4}}{4})}^{2}

$- {(\frac{y^{4}}{4})}^{2}$

Step 1

Apply the product rule to

\frac{y^{4}}{4}

$\frac{y^{4}}{4}$ .

- \frac{{(y^{4})}^{2}}{4^{2}}

$- \frac{{(y^{4})}^{2}}{4^{2}}$

Step 2

Multiply the exponents in

{(y^{4})}^{2}

${(y^{4})}^{2}$ .

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Step 2.1

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

- \frac{y^{4 \cdot 2}}{4^{2}}

$- \frac{y^{4 \cdot 2}}{4^{2}}$

Step 2.2

Multiply

4

$4$ by

2

$2$ .

- \frac{y^{8}}{4^{2}}

$- \frac{y^{8}}{4^{2}}$

- \frac{y^{8}}{4^{2}}

$- \frac{y^{8}}{4^{2}}$

Step 3

Raise

4

$4$ to the power of

2

$2$ .

- \frac{y^{8}}{16}

$- \frac{y^{8}}{16}$

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

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