Precalculus Examples

$\frac{14 w}{51 y} \cdot \frac{3 w}{7 y}$

Step 1

Cancel the common factor of $7$ .

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Step 1.1

Factor $7$ out of $14 w$ .

$\frac{7 (2 w)}{51 y} \cdot \frac{3 w}{7 y}$

Step 1.2

Factor $7$ out of $7 y$ .

$\frac{7 (2 w)}{51 y} \cdot \frac{3 w}{7 (y)}$

Step 1.3

Cancel the common factor.

$\frac{7 (2 w)}{51 y} \cdot \frac{3 w}{7 y}$

Step 1.4

Rewrite the expression.

$\frac{2 w}{51 y} \cdot \frac{3 w}{y}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $51 y$ .

$\frac{2 w}{3 (17 y)} \cdot \frac{3 w}{y}$

Step 2.2

Factor $3$ out of $3 w$ .

$\frac{2 w}{3 (17 y)} \cdot \frac{3 (w)}{y}$

Step 2.3

Cancel the common factor.

$\frac{2 w}{3 (17 y)} \cdot \frac{3 w}{y}$

Step 2.4

Rewrite the expression.

$\frac{2 w}{17 y} \cdot \frac{w}{y}$

Step 3

Multiply $\frac{2 w}{17 y}$ by $\frac{w}{y}$ .

$\frac{2 w \cdot w}{17 y \cdot y}$

Step 4

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

$\frac{2 (w^{1} w)}{17 y \cdot y}$

Step 5

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

$\frac{2 (w^{1} w^{1})}{17 y \cdot y}$

Step 6

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

$\frac{2 w^{1 + 1}}{17 y \cdot y}$

Step 7

Add $1$ and $1$ .

$\frac{2 w^{2}}{17 y \cdot y}$

Step 8

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

$\frac{2 w^{2}}{17 (y^{1} y)}$

Step 9

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

$\frac{2 w^{2}}{17 (y^{1} y^{1})}$

Step 10

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

$\frac{2 w^{2}}{17 y^{1 + 1}}$

Step 11

Add $1$ and $1$ .

$\frac{2 w^{2}}{17 y^{2}}$