Question

2x^1/2×3x^-5/2

Answer 1

To simplify the expression \( 2x^{1/2} \times 3x^{-5/2} \), you can follow these steps:

1. **Multiply the constants** (coefficients):
\[
2 \times 3 = 6
\]

2. **Add the exponents of \(x\)** (since the bases are the same):
\[
x^{1/2} \times x^{-5/2} = x^{1/2 + (-5/2)} = x^{-4/2} = x^{-2}
\]

3. **Combine the results**:
\[
6x^{-2}
\]

4. **Expressing with positive exponent** (if desired):
\[
6x^{-2} = \frac{6}{x^2}
\]

Thus, the simplified expression is:
\[
\frac{6}{x^2}
\]