Basic Math Examples

$\frac{3 u}{5} \cdot \frac{7 u}{9}$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Factor $3$ out of $3 u$ .

$\frac{3 (u)}{5} \cdot \frac{7 u}{9}$

Step 1.2

Factor $3$ out of $9$ .

$\frac{3 (u)}{5} \cdot \frac{7 u}{3 (3)}$

Step 1.3

Cancel the common factor.

$\frac{3 u}{5} \cdot \frac{7 u}{3 \cdot 3}$

Step 1.4

Rewrite the expression.

$\frac{u}{5} \cdot \frac{7 u}{3}$

Step 2

Multiply $\frac{u}{5}$ by $\frac{7 u}{3}$ .

$\frac{u (7 u)}{5 \cdot 3}$

Step 3

Raise $u$ to the power of $1$ .

$\frac{7 (u^{1} u)}{5 \cdot 3}$

Step 4

Raise $u$ to the power of $1$ .

$\frac{7 (u^{1} u^{1})}{5 \cdot 3}$

Step 5

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{7 u^{1 + 1}}{5 \cdot 3}$

Step 6

Add $1$ and $1$ .

$\frac{7 u^{2}}{5 \cdot 3}$

Step 7

Multiply $5$ by $3$ .

$\frac{7 u^{2}}{15}$