Dividing Monomials Worksheet

Dividing Monomials

Simplify each of the following expressions by dividing the monomials. Remember to apply the rules of exponents.

1. Simplify the expression: \( \frac{12x^5y^3}{3x^2y} \)

2. Simplify the expression: \( \frac{-20a^7b^4c^2}{5a^3b^2c} \)

3. Simplify the expression: \( \frac{18p^6q^9r^2}{-6p^4q^5r} \)

4. When dividing variables with exponents, you   the exponents.

5. The expression \( \frac{x^m}{x^n} \) simplifies to \( x^{ } \).

6. Any non-zero base raised to the power of zero is equal to  .

7. Which of the following is equivalent to \( \frac{15m^8n^5}{3m^2n^3} \)?

8. What is the simplified form of \( \frac{-36x^4y^6z^3}{9x^2y^2z^3} \)?

9. \( \frac{a^0}{a^5} = a^5 \)

10. \( \frac{x^7}{x^7} = 1 \)

11. Simplify the expression, assuming no variable is zero: \( \frac{(4x^3y^2)^2}{2x^2y^5} \)

12. What is the value of \( k \) if \( \frac{30a^8b^k}{6a^5b^2} = 5a^3b^4 \)?