x is non a zero rational number. Product of the square of x with the cube of x is equal to the

Options

A. second power of x
B. third power of x
C. fifth power of x
D. sixth power of x

Answer

To solve the problem, we need to find the product of the square of \( x \) with the cube of \( x \).

### Step-by-Step Solution:

1. **Identify the square of \( x \)**:
- The square of \( x \) is represented as \( x^2 \).

2. **Identify the cube of \( x \)**:
- The cube of \( x \) is represented as \( x^3 \).

3. **Find the product of the square and the cube**:
- We need to calculate \( x^2 \times x^3 \).

4. **Apply the property of exponents**:
- According to the property of exponents, when multiplying two powers with the same base, we add the exponents:
\[ a^m \times a^n = a^{m+n} \]
- Here, the base is \( x \), and the exponents are \( 2 \) and \( 3 \). Therefore:
\[ x^2 \times x^3 = x^{2+3} = x^5 \]

5. **Conclusion**:
- The product of the square of \( x \) with the cube of \( x \) is \( x^5 \).

### Final Answer:
The product of the square of \( x \) with the cube of \( x \) is \( x^5 \).

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