The value of `2^3xxa^3xx5a^4` will be:

Options

A. A)`10a^(10)`
B. B)40a
C. C)`40a^7`
D. D)`40a^(12)`

Answer

To solve the expression \(2^3 \times a^3 \times 5 \times a^4\), we will follow these steps:

### Step-by-Step Solution:

1. **Identify the components of the expression**:
The expression consists of two parts: the numerical part \(2^3 \times 5\) and the variable part \(a^3 \times a^4\).

2. **Calculate \(2^3\)**:
\[ 2^3 = 2 \times 2 \times 2 = 8 \]

3. **Multiply the numerical components**:
\[ 8 \times 5 = 40 \]

4. **Combine the variable components**:
When multiplying powers with the same base, we add the exponents:
\[ a^3 \times a^4 = a^{3+4} = a^7 \]

5. **Combine the results**:
Now, we combine the numerical result with the variable result:
\[ 40 \times a^7 = 40a^7 \]

### Final Answer:
The value of \(2^3 \times a^3 \times 5 \times a^4\) is:
\[ \boxed{40a^7} \]