Question

$\text{What is the value of}(\frac{4}{3}{)}^{-2}$ ?

• A. $\frac{16}{9}$
• B. $\frac{9}{16}$
• C. $\frac{-16}{-9}$
• D. None of the above

Answer 1

The correct option is B $\frac{9}{16}$

$\text{Applying the property}:(\frac{b}{a}{)}^{-n}=(\frac{a}{b}{)}^n$]
$\Rightarrow (\frac{4}{3}{)}^{-2}=(\frac{3}{4}{)}^2$

$\Rightarrow (\frac{3}{4}{)}^2=\frac{9}{16}$