Basic Math Examples

$\frac{14 a^{- 4}}{20 b c^{- 1}}$

Step 1

Simplify the expression.

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Step 1.1

Move $a^{- 4}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{14}{20 b c^{- 1} a^{4}}$

Step 1.2

Move $c^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{14 c}{20 b a^{4}}$

Step 2

Cancel the common factor of $14$ and $20$ .

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Step 2.1

Factor $2$ out of $14 c$ .

$\frac{2 (7 c)}{20 b a^{4}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $20 b a^{4}$ .

$\frac{2 (7 c)}{2 (10 b a^{4})}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (7 c)}{2 (10 b a^{4})}$

Step 2.2.3

Rewrite the expression.

$\frac{7 c}{10 b a^{4}}$