Question

The value of [ (1/4)^-2 + (1/3)^-2 ] ÷ (1/5)^-2 ?.​

Answer 1

$[( \frac{1}{4} ) {}^{ - 2} + ( \frac{1}{3}) {}^{ - 2}] \div ( \frac{1}{5} ) {}^{ - 2} \\ \\ = [ (\frac{4}{1} ) {}^{2} + ( \frac{3}{1} ) {}^{2} ] \div ( \frac{5}{1} ) {}^{2} \\ \\ = [(4 {}^{2} + 3 {}^{2} )]\div 5 {}^{2} \\ \\ = (16 + 9) \div 25 \\ \\ = 25 \div 25 \\ \\ = 1$

I hope this helps.