What will come in place of the question mark (?) in the given questions ?
`(0.8)^25xx(0.8)^1.5/(0.8)^0.5=(0.8)^?`

Options

A. 28
B. 26.5
C. 27
D. 26

Answer

To solve the equation \((0.8)^{25} \times (0.8)^{1.5} / (0.8)^{0.5} = (0.8)^{?}\), we can use the properties of exponents.

### Step-by-Step Solution:

1. **Identify the expression**: We start with the expression \((0.8)^{25} \times (0.8)^{1.5} / (0.8)^{0.5}\).

2. **Apply the multiplication property of exponents**: When multiplying two powers with the same base, we add the exponents:
\[ (0.8)^{25} \times (0.8)^{1.5} = (0.8)^{25 + 1.5} = (0.8)^{26.5} \]

3. **Apply the division property of exponents**: When dividing two powers with the same base, we subtract the exponents:
\[ (0.8)^{26.5} / (0.8)^{0.5} = (0.8)^{26.5 - 0.5} = (0.8)^{26} \]

4. **Set the exponents equal**: Now we have:
\[ (0.8)^{26} = (0.8)^{?} \]
This implies that:
\[ ? = 26 \]

5. **Conclusion**: Therefore, the value that comes in place of the question mark (?) is \(26\).

### Final Answer:
The answer is \(26\).