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

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

Step 1

Remove parentheses.

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

Step 2

Cancel the common factor of $a^{2}$ and $a^{4}$ .

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

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

Factor $b$ out of $2 b^{4}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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