Question

the value of (3^-1+4^-1)^-1/5^-1 is​

Answer 1

Answer:

(1/3 + 1/4) -1/5

((4+3)/12) -1/5

7/12 -1/5

(35-12)/60

23/60

Answer 2

Answer:

$\dfrac{{ ( {3}^{ - 1} + {4}^{ - 1} )}^{ - 1}}{ {5}^{ - 1} } \\ \\ \\ = \dfrac{{ ( \frac{1}{3} + \frac{1}{4})}^{ - 1} }{ \frac{1}{5} } \\ \\ \\ = \dfrac{{ (\frac{4 + 3}{4 \times 3} )}^{ - 1} }{ \frac{1}{5} } \\ \\ \\ = \dfrac{ \dfrac{12}{7} }{ \dfrac{1}{5} } \\ \\ \\ = \dfrac{12 \times 5}{7} \\ \\ \\ = \dfrac{60}{7}$