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Simplify the expression to a single numerical value: [tex]3 \cdot 2^3 \cdot 2 \cdot 3^2[/tex]

A. 144
B. 432
C. 900
D. 5,184

Sagot :

GinnyAnsweridn
To simplify the expression [tex]\( 3 \cdot 2^3 \cdot 2 \cdot 3^2 \)[/tex], follow these steps:

1. Compute the value of [tex]\(2^3\)[/tex].
- [tex]\(2^3 = 2 \times 2 \times 2 = 8\)[/tex]

2. Multiply the value obtained from step 1 by 2.
- [tex]\(8 \times 2 = 16\)[/tex]

3. Compute the value of [tex]\(3^2\)[/tex].
- [tex]\(3^2 = 3 \times 3 = 9\)[/tex]

4. Now multiply the constants and the results from the earlier steps together in the order given in the expression:
- [tex]\(3 \times 16 \times 9\)[/tex]

5. Proceed by multiplying from left to right:
- [tex]\(3 \times 16 = 48\)[/tex]
- [tex]\(48 \times 9 = 432\)[/tex]

Therefore, the simplified expression [tex]\( 3 \cdot 2^3 \cdot 2 \cdot 3^2 \)[/tex] equals [tex]\( 432 \)[/tex].

The correct answer is:
B. 432
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