Question

Evaluate:- (3^-1 + 4^-1)^-2

Answer 1

Answer:

144/49

Step-by-step explanation:

=(3^-1+4^-1)^-2

=(1/3+1/4)^-2

={(3+4)/12}^-2

=(7/12)^-2

=(12/7)^2

=144/49

Answer 2

${( {3}^{ - 1} + {4}^{ - 1}) }^{ - 2} \\ \\ = > \frac{1}{ {( {3}^{ - 1} + {4}^{ - 1} ) }^{2} } \\ \\ = > \frac{1}{ {( \frac{1}{3} + \frac{1}{4}) }^{2} } = \frac{1}{ {( \frac{4 + 3}{12} )}^{2} } \\ \\ = > \frac{1}{ \frac{49}{144} } = \frac{144}{49}$

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