Question

show that [(3/5^-1 - (1/3)^-1]^-1= -3/4

Answer 1

Solution:-

$( {( \frac{3}{5}) }^{ - 1} - ({ \frac{1}{3} )}^{ - 1} = \frac{ - 3}{4} \\ \frac{5}{3} - 3)^ - 1= \frac{ - 3}{4} \\ (\frac{5 - 9}{3})^ - 1 = \frac{ - 3}{4} \\( \frac{ - 4}{3})^ - 1 = \frac{ - 3}{4} \\ - \frac{3}{4} = - \frac{3 }{4}$
^

Answer 2

Step-by-step explanation:

((

5

3

)

−1

−(

3

1

)

−1

=

4

−3

3

5

−3)

−

1=

4

−3

(

3

5−9

)

−

1=

4

−3

(

3

−4

)

−

1=

4

−3

−

4

3

=−

4

3

^