Question

evaluate (4^-²+3^-²)-² ×(6/25)-² ​

Answer 1

$( { {4}^{ - 2} + {3}^{ - 2} })^{ - 2} \times ({ \frac{6}{25} })^{ - 2} \\ \\ \implies \: {( \frac{1}{ {4}^{2} } + \frac{1}{ {3}^{2} } )}^{ - 2} \times ({ \frac{25}{6} })^{2} \\ \\ \implies \: ( { \frac{1}{16} + \frac{1}{9} })^{ - 2} \times \frac{625}{36} \\ \\ \implies \: ( { \frac{9 + 16}{144} })^{ - 2} \times \frac{625}{36} \\ \\ \implies \: ( { \frac{25}{144} })^{ - 2} \times \frac{625}{36} \\ \\ \implies \: ( { \frac{144}{25} })^{ 2} \times \frac{625}{36} \\ \\ \implies \: \: \frac{144 \times \cancel{144} \: \: ⁴}{ \cancel{25} \times \cancel{25}} \times \frac{ \cancel{625}}{ \cancel{36}} \\ \\ \implies \: 576....$