Question

What is the value of ${\left(\right(2{)}^{-1})}^{-2}$ ?

• A. 4
• B. 3
• C. 5
• D. 2

Answer 1

The correct option is A 4

$2^{-1}$ =$\frac{1}{2}$
${\left(\right(2{)}^{-1})}^{-2}$ = $(\frac{1}{2}{)}^{-2}$ = ${\left(\frac{1}{\left(\frac{1}{2}\right)}\right)}^2$ = $(\frac{2}{1}{)}^2$ = $2^2$ = 4