Question

Solve
Pls answer fast

Answer 1

Answer:

1/49

Step-by-step explanation:

We know that,

$({a})^{ - m} = {( \frac{1}{a} )}^{m}$

$({{{( \frac{1}{3} )}^{ - 1} + {( \frac{1}{4} )}^{ - 1} }})^{ - 2} \\ = {( {3}^{1} + {4}^{1} )}^{ - 2} \\ = {(3 + 4)}^{ - 2} \\ = {7}^{ - 2} \\ = ( { \frac{1}{7} })^{2} \\ = \frac{1}{49}$

Answer 2

Answer:

$\frac{1}{49} \: is \: the \: answer.$

Step-by-step explanation:

${[ ({ \frac{1}{3}) }^{ - 1} + ( { \frac{1}{4} )}^{ - 1} ]}^{ - 2} = {[ \frac{1}{ {3}^{ - 1} } + \frac{1}{ {4}^{ - 1} } ]}^{ - 2} \\ \\ ={ [3 + 4]} ^{ - 2} \\ \\ = {7}^{ - 2} \\ \\ = \frac{1}{ {7}^{2} } \\ \\ = \frac{1}{49}$