What is (12^{-1})/((-4)^{-1)} ?

The solution to (12^{-1})/((-4)^{-1)} is -1/3

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simplify (12^{-1})/((-4)^{-1)}

simplify

\frac{1 2 ^{- 1}}{( - 4 ) ^{- 1}}

- \frac{1}{3}

Solution steps

\frac{1 2 ^{- 1}}{( - 4 ) ^{- 1}}

Apply exponent rule:

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

1 2^{- 1} = \frac{1}{12}

= \frac{\frac{1}{12}}{( - 4 ) ^{- 1}}

Apply the fraction rule:

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

= \frac{1}{12 ( - 4 ) ^{- 1}}

Simplify

12 (- 4)^{- 1} : - 3

= \frac{1}{- 3}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{1}{3}

x^{3} y - 4 x y

(0 m) + (7.8 \frac{m}{s}) (2.45 s) - \frac{1}{2} (- 9.8 (\frac{m}{s})^{2}) (2.45 s)^{2}

\frac{3}{7} \cdot 42

x^{2} - 4 x = 21

(x - 1) (x - 4) = 0