If `A=2^3xx3^2,B=2^2xx3^5 and C=2^3xx3^2`, then what is the value of `AxxBxxC`?

Options

A. A)`2^8""3^9`
B. B)`2^9""3^(10)`
C. C)`2^7""3^(10)`
D. D)`2^(10)""3^(10)`

Answer

To solve the problem, we need to find the value of \( A \times B \times C \) given:

- \( A = 2^3 \times 3^2 \)
- \( B = 2^2 \times 3^5 \)
- \( C = 2^3 \times 3^2 \)

### Step-by-step Solution:

1. **Write down the expressions for A, B, and C:**
\[ A = 2^3 \times 3^2 \]
\[ B = 2^2 \times 3^5 \]
\[ C = 2^3 \times 3^2 \]

2. **Multiply A, B, and C together:**
\[ A \times B \times C = (2^3 \times 3^2) \times (2^2 \times 3^5) \times (2^3 \times 3^2) \]

3. **Combine the powers of 2:**
- The powers of 2 in the product are \( 3 + 2 + 3 \).
\[ 3 + 2 + 3 = 8 \]
Thus, the power of 2 in the product is \( 2^8 \).

4. **Combine the powers of 3:**
- The powers of 3 in the product are \( 2 + 5 + 2 \).
\[ 2 + 5 + 2 = 9 \]
Thus, the power of 3 in the product is \( 3^9 \).

5. **Write the final result:**
\[ A \times B \times C = 2^8 \times 3^9 \]

### Conclusion:
The value of \( A \times B \times C \) is \( 2^8 \times 3^9 \).