Simplify Simplify (12a^2b^8)/(24a^4b^2)

Simplify $\frac{12 a^{2} b^{8}}{24 a^{4} b^{2}}$

Step 1

Cancel the common factor of $12$ and $24$ .

Factor $12$ out of $12 a^{2} b^{8}$ .

$\frac{12 (a^{2} b^{8})}{24 a^{4} b^{2}}$

Cancel the common factors.

Factor $12$ out of $24 a^{4} b^{2}$ .

$\frac{12 (a^{2} b^{8})}{12 (2 a^{4} b^{2})}$

Cancel the common factor.

$\frac{12 (a^{2} b^{8})}{12 (2 a^{4} b^{2})}$

Rewrite the expression.

$\frac{a^{2} b^{8}}{2 a^{4} b^{2}}$

$\frac{a^{2} b^{8}}{2 a^{4} b^{2}}$

$\frac{a^{2} b^{8}}{2 a^{4} b^{2}}$

Step 2

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

Factor $a^{2}$ out of $a^{2} b^{8}$ .

$\frac{a^{2} (b^{8})}{2 a^{4} b^{2}}$

Cancel the common factors.

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

$\frac{a^{2} (b^{8})}{a^{2} (2 a^{2} b^{2})}$

Cancel the common factor.

$\frac{a^{2} b^{8}}{a^{2} (2 a^{2} b^{2})}$

Rewrite the expression.

$\frac{b^{8}}{2 a^{2} b^{2}}$

$\frac{b^{8}}{2 a^{2} b^{2}}$

$\frac{b^{8}}{2 a^{2} b^{2}}$

Step 3

Cancel the common factor of $b^{8}$ and $b^{2}$ .

Factor $b^{2}$ out of $b^{8}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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