Simplify (3ab)/5*(4b)/(a^2)

$\frac{3 a b}{5} \cdot \frac{4 b}{a^{2}}$

Step 1

Combine.

$\frac{3 a b (4 b)}{5 a^{2}}$

Step 2

Multiply $b$ by $b$ by adding the exponents.

Move $b$ .

$\frac{3 a (b \cdot b) \cdot 4}{5 a^{2}}$

Multiply $b$ by $b$ .

$\frac{3 a b^{2} \cdot 4}{5 a^{2}}$

$\frac{3 a b^{2} \cdot 4}{5 a^{2}}$

Step 3

Cancel the common factor of $a$ and $a^{2}$ .

Factor $a$ out of $3 a b^{2} \cdot 4$ .

$\frac{a (3 b^{2} \cdot 4)}{5 a^{2}}$

Cancel the common factors.

Factor $a$ out of $5 a^{2}$ .

$\frac{a (3 b^{2} \cdot 4)}{a (5 a)}$

Cancel the common factor.

$\frac{a (3 b^{2} \cdot 4)}{a (5 a)}$

Rewrite the expression.

$\frac{3 b^{2} \cdot 4}{5 a}$

$\frac{3 b^{2} \cdot 4}{5 a}$

$\frac{3 b^{2} \cdot 4}{5 a}$

Step 4

Multiply $4$ by $3$ .

$\frac{12 b^{2}}{5 a}$

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