What is ((mp^4)/(2m^4*2m^{-4)p^4})^{-1} ?

The solution to ((mp^4)/(2m^4*2m^{-4)p^4})^{-1} is 4/m

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simplify ((mp^4)/(2m^4*2m^{-4)p^4})^{-1}

simplify

(\frac{m p ^{4}}{2 m ^{4} \cdot 2 m ^{- 4} p ^{4}})^{- 1}

\frac{4}{m}

Solution steps

(\frac{m p ^{4}}{2 m ^{4} \cdot 2 m ^{- 4} p ^{4}})^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

(\frac{m p ^{4}}{2 m ^{4} \cdot 2 m ^{- 4} p ^{4}})^{- 1} = \frac{1}{\frac{m p ^{4}}{2 m ^{4} \cdot 2 m ^{- 4} p ^{4}}}

= \frac{1}{\frac{m p ^{4}}{2 m ^{4} \cdot 2 m ^{- 4} p ^{4}}}

\frac{m p ^{4}}{2 m ^{4} \cdot 2 m ^{- 4} p ^{4}} = \frac{m p ^{4}}{4 p ^{4}}

= \frac{1}{\frac{m p ^{4}}{4 p ^{4}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{4 p ^{4}}{m p ^{4}}

Cancel the common factor:

p^{4}

= \frac{4}{m}

6 = \frac{5}{3} (8 x + 9)

\frac{n}{2} + 12 = 3

\frac{x}{2} = 3 + \frac{x - 30}{5}

(\frac{3}{5})^{- 0.85}

(1 + \frac{0.08}{2})^{2} - 1

What is ((mp^4)/(2m^4*2m^{-4)p^4})^{-1} ?
The solution to ((mp^4)/(2m^4*2m^{-4)p^4})^{-1} is 4/m