Question

\(\left(\dfrac{3}{2}\right)^2-\left[\dfrac{2}{3}:3+\sqrt{81},\left(-\dfrac{1}{2}\right)^2\right]\)

Answer 1

\(\left(\dfrac{3}{2}\right)^2-\left[\dfrac{2}{3}:3+\sqrt{81}\cdot\left(-\dfrac{1}{2}\right)^2\right]\)
\(=\dfrac{9}{4}-\left[2+9\cdot\dfrac{1}{4}\right]\)
= \(\dfrac{9}{4}-\dfrac{17}{4}=\dfrac{-8}{4}=-2\)

Answer 2

${\frac{3}{2})}^2-\left[\frac{2}{3}:3+\sqrt{81}\cdot {\left(-\frac{1}{2}\right)}^2\right]$
$=\frac{9}{4}-\left[2+9\cdot \frac{1}{4}\right]$
= $\frac{9}{4}-\frac{17}{4}=\frac{-8}{4}=-2$