Algebra Examples

$\frac{4 m^{- 4} n^{- 1}}{4 n^{3}}$

Step 1

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

$\frac{4 n^{- 1}}{4 n^{3} m^{4}}$

Step 2

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

$\frac{4}{4 n^{3} m^{4} n}$

Step 3

Multiply $n^{3}$ by $n$ by adding the exponents.

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Step 3.1

Move $n$ .

$\frac{4}{4 (n \cdot n^{3}) m^{4}}$

Step 3.2

Multiply $n$ by $n^{3}$ .

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Step 3.2.1

Raise $n$ to the power of $1$ .

$\frac{4}{4 (n^{1} n^{3}) m^{4}}$

Step 3.2.2

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

$\frac{4}{4 n^{1 + 3} m^{4}}$

Step 3.3

Add $1$ and $3$ .

$\frac{4}{4 n^{4} m^{4}}$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Cancel the common factor.

$\frac{4}{4 n^{4} m^{4}}$

Step 4.2

Rewrite the expression.

$\frac{1}{n^{4} m^{4}}$