Basic Math Examples

{(\frac{u \cdot 7}{12})}^{3}

${(\frac{u \cdot 7}{12})}^{3}$

Step 1

Move

7

$7$ to the left of

u

$u$ .

{(\frac{7 \cdot u}{12})}^{3}

${(\frac{7 \cdot u}{12})}^{3}$

Step 2

Use the power rule

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

${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 2.1

Apply the product rule to

\frac{7 u}{12}

$\frac{7 u}{12}$ .

\frac{{(7 u)}^{3}}{12^{3}}

$\frac{{(7 u)}^{3}}{12^{3}}$

Step 2.2

Apply the product rule to

7 u

$7 u$ .

\frac{7^{3} u^{3}}{12^{3}}

$\frac{7^{3} u^{3}}{12^{3}}$

\frac{7^{3} u^{3}}{12^{3}}

$\frac{7^{3} u^{3}}{12^{3}}$

Step 3

Raise

7

$7$ to the power of

3

$3$ .

\frac{343 u^{3}}{12^{3}}

$\frac{343 u^{3}}{12^{3}}$

Step 4

Raise

12

$12$ to the power of

3

$3$ .

\frac{343 u^{3}}{1728}

$\frac{343 u^{3}}{1728}$