Question

How do you simplify ${\left(\frac{1}{2}\right)}^{-2}$?

Answer 1

Simplify the given number:

The given irrational number is ${\left(\frac{1}{2}\right)}^{-2}$.

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

$=\frac{1}{{\displaystyle \frac{1}{2^2}}}$

$=2^2$

$=4$

Hence, the simplified value of ${\left(\frac{1}{2}\right)}^{-2}$ is $4$.