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

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

Combine.

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

Multiply $a^{2}$ by $a^{2}$ by adding the exponents.

Move $a^{2}$ .

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

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

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

Add $2$ and $2$ .

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

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

Move $b$ .

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

Multiply $b$ by $b$ .

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

Multiply $b^{2}$ by $b^{4}$ by adding the exponents.

Move $b^{4}$ .

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

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

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

Add $4$ and $2$ .

$\frac{4 a^{4} b^{2} \cdot 5}{a^{3} b^{6} \cdot 2}$

Cancel the common factor of $4$ and $2$ .

Factor $2$ out of $4 a^{4} b^{2} \cdot 5$ .

$\frac{2 (2 a^{4} b^{2} \cdot 5)}{a^{3} b^{6} \cdot 2}$

Cancel the common factors.

Factor $2$ out of $a^{3} b^{6} \cdot 2$ .

$\frac{2 (2 a^{4} b^{2} \cdot 5)}{2 \cdot (a^{3} b^{6})}$

Cancel the common factor.

$\frac{2 (2 a^{4} b^{2} \cdot 5)}{2 \cdot (a^{3} b^{6})}$

Rewrite the expression.

$\frac{2 a^{4} b^{2} \cdot 5}{a^{3} b^{6}}$

Cancel the common factor of $a^{4}$ and $a^{3}$ .

Factor $a^{3}$ out of $2 a^{4} b^{2} \cdot 5$ .

$\frac{a^{3} (2 a b^{2} \cdot 5)}{a^{3} b^{6}}$

Cancel the common factors.

Factor $a^{3}$ out of $a^{3} b^{6}$ .

$\frac{a^{3} (2 a b^{2} \cdot 5)}{a^{3} (b^{6})}$

Cancel the common factor.

$\frac{a^{3} (2 a b^{2} \cdot 5)}{a^{3} b^{6}}$

Rewrite the expression.

$\frac{2 a b^{2} \cdot 5}{b^{6}}$

Cancel the common factor of $b^{2}$ and $b^{6}$ .

Factor $b^{2}$ out of $2 a b^{2} \cdot 5$ .

$\frac{b^{2} (2 a \cdot 5)}{b^{6}}$

Cancel the common factors.

Factor $b^{2}$ out of $b^{6}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $5$ by $2$ .

$\frac{10 a}{b^{4}}$

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

Related Questions

Support LCMGCF.com by disabling your adblocker.