What is (5m^{-1})/(9(ab)^{-4)c^7} ?

The solution to (5m^{-1})/(9(ab)^{-4)c^7} is (5a^4b^4)/(9mc^7)

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simplify (5m^{-1})/(9(ab)^{-4)c^7}

simplify

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

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

Solution steps

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

Simplify

5 m^{- 1} : \frac{5}{m}

= \frac{\frac{5}{m}}{9 ( ab ) ^{- 4} c ^{7}}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{5}{m \cdot 9 ( ab ) ^{- 4} c ^{7}}

Simplify

m \cdot 9 (ab)^{- 4} c^{7} : \frac{9 m c ^{7}}{a ^{4} b ^{4}}

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

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

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

3 (x + 1) - 6 = 12 x - 2 (3 x + 1)

4 - x^{2} \leq 0

x^{3} - 7 x^{2} + 11 x - 5

p + 12 = 67

45 m^{3} n - 5 mn

What is (5m^{-1})/(9(ab)^{-4)c^7} ?
The solution to (5m^{-1})/(9(ab)^{-4)c^7} is (5a^4b^4)/(9mc^7)