Basic Math Examples

$\frac{16 p^{9} q^{5 r^{3}}}{20 p^{2 q^{5 r^{2}}}}$

Step 1

Cancel the common factor of $16$ and $20$ .

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Step 1.1

Factor $4$ out of $16 p^{9} q^{5 r^{3}}$ .

$\frac{4 (4 p^{9} q^{5 r^{3}})}{20 p^{2 q^{5 r^{2}}}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $20 p^{2 q^{5 r^{2}}}$ .

$\frac{4 (4 p^{9} q^{5 r^{3}})}{4 (5 p^{2 q^{5 r^{2}}})}$

Step 1.2.2

Cancel the common factor.

$\frac{4 (4 p^{9} q^{5 r^{3}})}{4 (5 p^{2 q^{5 r^{2}}})}$

Step 1.2.3

Rewrite the expression.

$\frac{4 p^{9} q^{5 r^{3}}}{5 p^{2 q^{5 r^{2}}}}$

Step 2

Cancel the common factor of $p^{9}$ and $p^{2 q^{5 r^{2}}}$ .

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Step 2.1

Factor $p^{2 q^{5 r^{2}}}$ out of $4 p^{9} q^{5 r^{3}}$ .

$\frac{p^{2 q^{5 r^{2}}} (4 p^{9 - 2 q^{5 r^{2}}} q^{5 r^{3}})}{5 p^{2 q^{5 r^{2}}}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $p^{2 q^{5 r^{2}}}$ out of $5 p^{2 q^{5 r^{2}}}$ .

$\frac{p^{2 q^{5 r^{2}}} (4 p^{9 - 2 q^{5 r^{2}}} q^{5 r^{3}})}{p^{2 q^{5 r^{2}}} \cdot 5}$

Step 2.2.2

Cancel the common factor.

$\frac{p^{2 q^{5 r^{2}}} (4 p^{9 - 2 q^{5 r^{2}}} q^{5 r^{3}})}{p^{2 q^{5 r^{2}}} \cdot 5}$

Step 2.2.3

Rewrite the expression.

$\frac{4 p^{9 - 2 q^{5 r^{2}}} q^{5 r^{3}}}{5}$