To solve the expression [tex]\( 7 \times (-3) \times (-2)^2 \)[/tex], we can proceed step-by-step:
1. Evaluate the exponent first:
[tex]\[ (-2)^2 \][/tex]
Squaring [tex]\(-2\)[/tex] gives:
[tex]\[ (-2) \times (-2) = 4 \][/tex]
2. Substitute this result back into the expression:
[tex]\[ 7 \times (-3) \times 4 \][/tex]
3. Multiply [tex]\( -3 \)[/tex] and 4 next:
[tex]\[ (-3) \times 4 = -12 \][/tex]
4. Finally, multiply [tex]\( 7 \)[/tex] by the result of the previous step:
[tex]\[ 7 \times (-12) = -84 \][/tex]
So, the value of the expression [tex]\( 7 \times(-3) \times(-2)^2 \)[/tex] is [tex]\(-84\)[/tex].
Therefore, the correct answer is:
C. [tex]\(-84\)[/tex]
