Basic Math Examples

$\frac{c^{3}}{c^{7}} \cdot \frac{c^{18}}{c^{10}}$

Step 1

Combine.

$\frac{c^{3} c^{18}}{c^{7} c^{10}}$

Step 2

Multiply $c^{3}$ by $c^{18}$ by adding the exponents.

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Step 2.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{c^{3 + 18}}{c^{7} c^{10}}$

Step 2.2

Add $3$ and $18$ .

$\frac{c^{21}}{c^{7} c^{10}}$

Step 3

Multiply $c^{7}$ by $c^{10}$ by adding the exponents.

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Step 3.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{c^{21}}{c^{7 + 10}}$

Step 3.2

Add $7$ and $10$ .

$\frac{c^{21}}{c^{17}}$

Step 4

Cancel the common factor of $c^{21}$ and $c^{17}$ .

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Step 4.1

Factor $c^{17}$ out of $c^{21}$ .

$\frac{c^{17} c^{4}}{c^{17}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Multiply by $1$ .

$\frac{c^{17} c^{4}}{c^{17} \cdot 1}$

Step 4.2.2

Cancel the common factor.

$\frac{c^{17} c^{4}}{c^{17} \cdot 1}$

Step 4.2.3

Rewrite the expression.

$\frac{c^{4}}{1}$

Step 4.2.4

Divide $c^{4}$ by $1$ .

$c^{4}$