Evaluate the expression.
-$\left( \frac { 1 } { 4 } \right) ^ { 2 } \cdot \left( \frac { 1 } { 3 } - \frac { 5 } { 18 } \right)$
A) $- \frac { 37 } { 144 }$
B) $- \frac { 1 } { 63 }$
C) $\frac { 1 } { 126 }$
D) $\frac { 1 } { 288 }$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the parentheses: $\frac{1}{3} - \frac{5}{18} = \frac{6}{18} - \frac{5}{18} = \frac{1}{18}$. Then, $\left( \frac{1}{4} \right)^2 = \frac{1}{16}$. Multiplying these results gives $\frac{1}{16} \cdot \frac{1}{18} = \frac{1}{288}$.

Evaluate the Expression (14)2⋅(13−518)\left( \frac { 1 } { 4 } \right) ^ { 2 } \cdot \left( \frac { 1 } { 3 } - \frac { 5 } { 18 } \right)(41​)2⋅(31​−185​)

Evaluate the Expression $\left( \frac { 1 } { 4 } \right) ^ { 2 } \cdot \left( \frac { 1 } { 3 } - \frac { 5 } { 18 } \right)$