To simplify the expression \( \frac{6xy}{2} \times 13x^5y^2 \), follow these steps:

1. **Simplify the fraction** \( \frac{6xy}{2} \):
   \[
   \frac{6xy}{2} = 3xy
   \]
   
2. **Multiply the result by \( 13x^5y^2 \)**:
   \[
   3xy \times 13x^5y^2 = 39x^{1+5}y^{1+2}
   \]

3. **Combine the powers of \( x \) and \( y \)**:
   \[
   39x^6y^3
   \]

So, the simplified expression is:

\[
39x^6y^3
\]

Would you like a more detailed explanation, or have any specific questions?

Here are 5 related questions for further practice:
1. Simplify \( \frac{8x^2y^2}{4} \times 5x^3y \).
2. Simplify \( 7x \times 9x^2y^3 \).
3. Multiply \( 2x^4y \times 4x^3y^2 \).
4. Simplify \( \frac{12x^3y}{4x} \times 3x^2y^3 \).
5. Divide \( \frac{15x^7y^3}{5x^2y} \).

**Tip:** Always combine powers of the same variable by adding exponents when multiplying terms.

This guide walks through the steps to simplify the algebraic expression 6xy/2 * 13x^5y^2. Learn about fraction simplification and exponent rules while multiplying terms with variables. Suitable for students in Grades 8-10.

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