Basic Math Examples

$- 6 c^{4} k^{5} \cdot m = 3 b c^{9} k^{10}$

Step 1

Divide each term in $- 6 c^{4} k^{5} \cdot m = 3 b c^{9} k^{10}$ by $- 6 c^{4} k^{5}$ .

$\frac{- 6 c^{4} k^{5} \cdot m}{- 6 c^{4} k^{5}} = \frac{3 b c^{9} k^{10}}{- 6 c^{4} k^{5}}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 6$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 6 c^{4} k^{5} \cdot m}{- 6 c^{4} k^{5}} = \frac{3 b c^{9} k^{10}}{- 6 c^{4} k^{5}}$

Step 2.1.2

Rewrite the expression.

$\frac{c^{4} k^{5} \cdot m}{c^{4} k^{5}} = \frac{3 b c^{9} k^{10}}{- 6 c^{4} k^{5}}$

Step 2.2

Cancel the common factor of $c^{4}$ .

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Step 2.2.1

Cancel the common factor.

$\frac{c^{4} k^{5} \cdot m}{c^{4} k^{5}} = \frac{3 b c^{9} k^{10}}{- 6 c^{4} k^{5}}$

Step 2.2.2

Rewrite the expression.

$\frac{k^{5} \cdot m}{k^{5}} = \frac{3 b c^{9} k^{10}}{- 6 c^{4} k^{5}}$

Step 2.3

Cancel the common factor of $k^{5}$ .

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Step 2.3.1

Cancel the common factor.

$\frac{k^{5} \cdot m}{k^{5}} = \frac{3 b c^{9} k^{10}}{- 6 c^{4} k^{5}}$

Step 2.3.2

Divide $m$ by $1$ .

$m = \frac{3 b c^{9} k^{10}}{- 6 c^{4} k^{5}}$

Step 3

Simplify the right side.

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Step 3.1

Cancel the common factor of $3$ and $- 6$ .

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Step 3.1.1

Factor $3$ out of $3 b c^{9} k^{10}$ .

$m = \frac{3 (b c^{9} k^{10})}{- 6 c^{4} k^{5}}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $3$ out of $- 6 c^{4} k^{5}$ .

$m = \frac{3 (b c^{9} k^{10})}{3 (- 2 c^{4} k^{5})}$

Step 3.1.2.2

Cancel the common factor.

$m = \frac{3 (b c^{9} k^{10})}{3 (- 2 c^{4} k^{5})}$

Step 3.1.2.3

Rewrite the expression.

$m = \frac{b c^{9} k^{10}}{- 2 c^{4} k^{5}}$

Step 3.2

Cancel the common factor of $c^{9}$ and $c^{4}$ .

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Step 3.2.1

Factor $c^{4}$ out of $b c^{9} k^{10}$ .

$m = \frac{c^{4} (b c^{5} k^{10})}{- 2 c^{4} k^{5}}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $c^{4}$ out of $- 2 c^{4} k^{5}$ .

$m = \frac{c^{4} (b c^{5} k^{10})}{c^{4} (- 2 k^{5})}$

Step 3.2.2.2

Cancel the common factor.

$m = \frac{c^{4} (b c^{5} k^{10})}{c^{4} (- 2 k^{5})}$

Step 3.2.2.3

Rewrite the expression.

$m = \frac{b c^{5} k^{10}}{- 2 k^{5}}$

Step 3.3

Cancel the common factor of $k^{10}$ and $k^{5}$ .

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Step 3.3.1

Factor $k^{5}$ out of $b c^{5} k^{10}$ .

$m = \frac{k^{5} (b c^{5} k^{5})}{- 2 k^{5}}$

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

Factor $k^{5}$ out of $- 2 k^{5}$ .

$m = \frac{k^{5} (b c^{5} k^{5})}{k^{5} \cdot - 2}$

Step 3.3.2.2

Cancel the common factor.

$m = \frac{k^{5} (b c^{5} k^{5})}{k^{5} \cdot - 2}$

Step 3.3.2.3

Rewrite the expression.

$m = \frac{b c^{5} k^{5}}{- 2}$

Step 3.4

Move the negative in front of the fraction.

$m = - \frac{b c^{5} k^{5}}{2}$