Basic Math Examples

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

Step 1

Move $7$ to the left of $u$ .

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

Step 2

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

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Step 2.1

Apply the product rule to $\frac{7 u}{12}$ .

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

Step 2.2

Apply the product rule to $7 u$ .

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

Step 3

Raise $7$ to the power of $3$ .

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

Step 4

Raise $12$ to the power of $3$ .

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