Basic Math Examples

$\frac{9 b^{6}}{10 y^{3}} \cdot \frac{100 v^{6}}{81 b}$

Step 1

Combine.

$\frac{9 b^{6} (100 v^{6})}{10 y^{3} (81 b)}$

Step 2

Cancel the common factor of $9$ and $81$ .

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Step 2.1

Factor $9$ out of $9 b^{6} (100 v^{6})$ .

$\frac{9 (b^{6} (100 v^{6}))}{10 y^{3} (81 b)}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $9$ out of $10 y^{3} (81 b)$ .

$\frac{9 (b^{6} (100 v^{6}))}{9 (10 y^{3} (9 b))}$

Step 2.2.2

Cancel the common factor.

$\frac{9 (b^{6} (100 v^{6}))}{9 (10 y^{3} (9 b))}$

Step 2.2.3

Rewrite the expression.

$\frac{b^{6} (100 v^{6})}{10 y^{3} (9 b)}$

Step 3

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

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Step 3.1

Factor $b$ out of $b^{6} (100 v^{6})$ .

$\frac{b (b^{5} (100 v^{6}))}{10 y^{3} (9 b)}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $b$ out of $10 y^{3} (9 b)$ .

$\frac{b (b^{5} (100 v^{6}))}{b (10 y^{3} \cdot (9))}$

Step 3.2.2

Cancel the common factor.

$\frac{b (b^{5} (100 v^{6}))}{b (10 y^{3} \cdot (9))}$

Step 3.2.3

Rewrite the expression.

$\frac{b^{5} (100 v^{6})}{10 y^{3} \cdot (9)}$

Step 4

Cancel the common factor of $100$ and $10$ .

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Step 4.1

Factor $10$ out of $b^{5} (100 v^{6})$ .

$\frac{10 (b^{5} (10 v^{6}))}{10 y^{3} \cdot (9)}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $10$ out of $10 y^{3} \cdot (9)$ .

$\frac{10 (b^{5} (10 v^{6}))}{10 (y^{3} \cdot (9))}$

Step 4.2.2

Cancel the common factor.

$\frac{10 (b^{5} (10 v^{6}))}{10 (y^{3} \cdot (9))}$

Step 4.2.3

Rewrite the expression.

$\frac{b^{5} (10 v^{6})}{y^{3} \cdot (9)}$

Step 5

Reorder.

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Step 5.1

Move $10$ to the left of $b^{5}$ .

$\frac{10 \cdot b^{5} v^{6}}{y^{3} \cdot 9}$

Step 5.2

Move $9$ to the left of $y^{3}$ .

$\frac{10 b^{5} v^{6}}{9 y^{3}}$