Question

Evaluate
(3^-1+4^-1)^-2​

Answer 1

`\huge\textsf{Hey there!}`

`\mathsf{= (3^(-1)+4^(-1))^(-2)}\\\\\\\mathsf{3^(-1) = \bf {(1)/(3)}}\\\\\\\mathsf{4^(-1) = \bf (1)/(4)}\\\\\\\mathsf{= ((1)/(3)+(1)/(4))^(-2)}\\\\\\\mathsf{(1)/(3) + (1)/(4) = \bf (7)/(12)}\\\\\\\mathsf{= ((7)/(12))^(-2)}\\\\\large\text{Simplify above and you have your overall answer...}\\\\\\\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf (144)/(49)}}}\huge\checkmark`