Answer:
[tex]-\frac{31}{4}[/tex]
Step-by-step explanation:
The given expression is
[tex](\frac{1}{2})^2-6(2-\frac{2}{3})[/tex]
We need to find the simplified form of the given expression.
Simplify the brackets first.
[tex]\frac{1}{4}-6(\frac{6-2}{3})[/tex]
[tex]\frac{1}{4}-6(\frac{4}{3})[/tex]
[tex]\frac{1}{4}-\frac{24}{3})[/tex]
Cancel out the common facotrs.
[tex]\frac{1}{4}-8[/tex]
On further simplification we get
[tex]\frac{1-32}{4}[/tex]
[tex]-\frac{31}{4}[/tex]
Therefore the simplified form of given expression is [tex]-\frac{31}{4}[/tex].
