Question

Simplify:
[ (5)² - ( ¼)-²] × (¾)-²​

Answer 1

Question :

⇝$[\:(5)^2\:-\:(\:1/4\:)^{-2}\:×\:(\:3/4\:)^{-2}$

Answer :

⇛$[\:(5)^2\:-\:(\:1/4\:)^{-2}\:×\:(\:3/4\:)^{-2}$

➳ $[\:(\:5\:×\:5\:)\:-\:(\:4\:)^2\:]\:×\:(\:4\:/\:3\:)^2$

➳ $[\:25\:-\:(\:4\:×\:4\:)\:]\:×\:(\:4\:×\:4\:/\:3\:×\:3\:)$

➳ $[\:25\:-\:16\:]\:×\:16\:/\:9$

➳ $[\:9\:×\:16\:/\:9\:]$

➳ $\frac{\cancel{9}}{16}/{\cancel{9}}$

➳ $\bold{16}$

More information :

✎ Whenever, we have more than one operation in our question , we should use BODMAS rule [ Bracket of Division, Multiplication, Addition, Subtraction ].

✎ Whenever we find ' of ' in simplification problem, we can replace it by ' × ' ( Multiplication ).

So, It's Done !!