Algebra Examples

\frac{5 m^{- 1}}{9 {(a b)}^{- 4} c^{7}}

$\frac{5 m^{- 1}}{9 {(a b)}^{- 4} c^{7}}$

Step 1

Move

m^{- 1}

$m^{- 1}$ to the denominator using the negative exponent rule

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

\frac{5}{9 {(a b)}^{- 4} c^{7} m}

$\frac{5}{9 {(a b)}^{- 4} c^{7} m}$

Step 2

Move

{(a b)}^{- 4}

${(a b)}^{- 4}$ to the numerator using the negative exponent rule

\frac{1}{b^{- n}} = b^{n}

$\frac{1}{b^{- n}} = b^{n}$ .

\frac{5 {(a b)}^{4}}{9 c^{7} m}

$\frac{5 {(a b)}^{4}}{9 c^{7} m}$

Step 3

Apply the product rule to

a b

$a b$ .

\frac{5 a^{4} b^{4}}{9 c^{7} m}

$\frac{5 a^{4} b^{4}}{9 c^{7} m}$