Use the order of operations to simplify the expression.
-$\left( \frac { 2 } { 3 } \right) ^ { 2 } + \left( \frac { 2 } { 3 } - \frac { 1 } { 6 } \right)$
A) $\frac { 4 } { 3 }$
B) $\frac { 8 } { 9 }$
C) $\frac { 4 } { 9 }$
D) $\frac { 2 } { 9 }$

Question

Quizplus · Accepted Answer

First, calculate the square of $\frac{2}{3}$, which is $\frac{4}{9}$. Then, subtract $\frac{1}{6}$ from $\frac{2}{3}$ to get $\frac{1}{2}$. Adding these results together, $\frac{4}{9} + \frac{1}{2} = \frac{8}{9}$.

Use the Order of Operations to Simplify the Expression (23)2+(23−16)\left( \frac { 2 } { 3 } \right) ^ { 2 } + \left( \frac { 2 } { 3 } - \frac { 1 } { 6 } \right)(32​)2+(32​−61​)

Use the Order of Operations to Simplify the Expression $\left( \frac { 2 } { 3 } \right) ^ { 2 } + \left( \frac { 2 } { 3 } - \frac { 1 } { 6 } \right)$