Solve the following:

[tex]\[7 \times (-3) \times (-2)^2 = ?\][/tex]

A. [tex]\(-48\)[/tex]
B. [tex]\(48\)[/tex]
C. [tex]\(-84\)[/tex]
D. [tex]\(84\)[/tex]



Answer :

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]