Question

(3/4-4)^-1 simplify
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Answer 1

Answer:

3/4-4=3-12/4= -9/4

(-9/4)^-1= 1/ -9/4= -4/9

Answer 2

Solution :-

$\left(\dfrac{3}{4} - 4 \right)^{-1}$

$= \left(\dfrac{3 - 16 }{4} - \right)^{-1}$

$= \left(\dfrac{-12}{4} \right)^{-1}$

Now as

$a^{-1} = \dfrac{1}{a}$

$\left(\dfrac{-12}{4} \right)^{-1} = \dfrac{-4}{12}$