Question

[(4/3)^-1 - (-1/4)^-1]^-1​

Answer 1

Answer:

4/19

Step-by-step explanation:

(4/3)^-1=3/4

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

[3/4-(-4/1)]^-1

=[3/4+4/1]^-1

=[19/4]^-1

=4/19

Hope this will help you!!

Answer 2

Answer:

= $[\frac{4}{3} ^{-1}-\frac{-1}{4}^{-1}]^{-1}$

= $[\frac{3}{4}+\frac{4}{1}]^{-1}$

= $\frac{3+16}{4}^{-1}$

= $\frac{19}{4}^{-1}$

= $\frac{4}{19}$

Explaination:

When fraction has -1 as exponent its numerator and denominator are exchanged.

In step 2, LCM is taken between 4 and 1 to add the fractions.