Basic Math Examples

$\frac{25 c}{2 b} \cdot \frac{4 b c}{5 c^{5}}$

Step 1

Combine.

$\frac{25 c (4 b c)}{2 b (5 c^{5})}$

Step 2

Multiply $c$ by $c$ by adding the exponents.

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Step 2.1

Move $c$ .

$\frac{25 (c \cdot c) (4 b)}{2 b (5 c^{5})}$

Step 2.2

Multiply $c$ by $c$ .

$\frac{25 c^{2} (4 b)}{2 b (5 c^{5})}$

$\frac{25 c^{2} (4 b)}{2 b (5 c^{5})}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Cancel the common factor of $25$ and $5$ .

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Step 3.1.1

Factor $5$ out of $25 c^{2} (4 b)$ .

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

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $5$ out of $2 b (5 c^{5})$ .

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

Step 3.1.2.2

Cancel the common factor.

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

Step 3.1.2.3

Rewrite the expression.

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

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

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

Step 3.2

Cancel the common factor of $c^{2}$ and $c^{5}$ .

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Step 3.2.1

Factor $c^{2}$ out of $5 c^{2} (4 b)$ .

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

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $c^{2}$ out of $2 b (c^{5})$ .

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

Step 3.2.2.2

Cancel the common factor.

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

Step 3.2.2.3

Rewrite the expression.

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

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

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

Step 3.3

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

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Step 3.3.1

Factor $2$ out of $5 (4 b)$ .

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

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

Factor $2$ out of $2 b (c^{3})$ .

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

Step 3.3.2.2

Cancel the common factor.

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

Step 3.3.2.3

Rewrite the expression.

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

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

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

Step 3.4

Cancel the common factor of $b$ .

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Step 3.4.1

Cancel the common factor.

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

Step 3.4.2

Rewrite the expression.

$\frac{5 \cdot (2)}{c^{3}}$

$\frac{5 \cdot (2)}{c^{3}}$

$\frac{5 \cdot (2)}{c^{3}}$

Step 4

Multiply $5$ by $2$ .

$\frac{10}{c^{3}}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$