Answer:
[tex]12[/tex]
Step-by-step explanation:
1) Simplify 4² to 16.
[tex] \frac{ - \frac{1}{3} \times - 33 - \frac{1}{2} \times 16 }{ \frac{1}{4} } [/tex]
2) Move the negative sing to the left side.
[tex] \frac{ - ( - \frac{33}{3}) - \frac{1}{2} \times 16 }{ \frac{1}{4} } [/tex]
3) Simplify 33/3 to 11.
[tex] \frac{ - ( - 11) - \frac{1}{2} \times 16 }{ \frac{1}{4} } [/tex]
4) Simplify 1/2 × 16 to 16/2.
[tex] \frac{ - ( - 11) - \frac{16}{2} }{ \frac{1}{4} } [/tex]
5) Simplify 16/2 to 8.
[tex] \frac{ - ( - 11) - 8}{ \frac{1}{4} } [/tex]
6) Remove parentheses.
[tex] \frac{11 - 8}{ \frac{1}{4} } [/tex]
7) Simplify 11 - 3 to 8.
[tex] \frac{3}{ \frac{1}{4} } [/tex]
8) Invert and multiply.
[tex]3 \times 4[/tex]
9) Simplify.
[tex]12[/tex]
Therefor, the answer is 12.
