Simplify 14ab*1/(21b^3)

$14 a b \cdot \frac{1}{21 b^{3}}$

Step 1

Cancel the common factor of $7 b$ .

Factor $7 b$ out of $14 a b$ .

$7 b (2 a) \cdot \frac{1}{21 b^{3}}$

Factor $7 b$ out of $21 b^{3}$ .

$7 b (2 a) \cdot \frac{1}{7 b (3 b^{2})}$

Cancel the common factor.

$7 b (2 a) \cdot \frac{1}{7 b (3 b^{2})}$

Rewrite the expression.

$2 a \cdot \frac{1}{3 b^{2}}$

$2 a \cdot \frac{1}{3 b^{2}}$

Step 2

Combine $2$ and $\frac{1}{3 b^{2}}$ .

$a \cdot \frac{2}{3 b^{2}}$

Step 3

Combine $a$ and $\frac{2}{3 b^{2}}$ .

$\frac{a \cdot 2}{3 b^{2}}$

Step 4

Move $2$ to the left of $a$ .

$\frac{2 a}{3 b^{2}}$

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