To solve the expression [tex]\(5 \cdot 2^3\)[/tex], follow these steps:
1. Understand the Expression:
The expression consists of two main components:
- The power expression [tex]\(2^3\)[/tex], which means 2 raised to the power of 3.
- The multiplication with the coefficient 5.
2. Evaluate the Power:
Calculate [tex]\(2^3\)[/tex].
- [tex]\(2^3\)[/tex] means multiplying 2 by itself three times: [tex]\(2 \times 2 \times 2\)[/tex].
- When we perform this calculation, we get [tex]\(2 \times 2 = 4\)[/tex], and then [tex]\(4 \times 2 = 8\)[/tex].
- Therefore, [tex]\(2^3 = 8\)[/tex].
3. Multiply by the Coefficient:
Now, multiply the result of the power expression by 5:
- So we have [tex]\(5 \times 8\)[/tex].
- Multiplying these gives [tex]\(5 \times 8 = 40\)[/tex].
Therefore, the value of [tex]\(5 \cdot 2^3\)[/tex] is [tex]\(40\)[/tex].
Among the choices given (1,000; 40; 30), the correct answer is:
[tex]\[ \boxed{40} \][/tex]
