Dividing Monomials Worksheet
Grade 12 math worksheet on dividing monomials, including simplifying expressions with exponents and variables.
Includes
Standards
Topics
Dividing Monomials
Name:
Date:
Score:
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 \( \frac{15m^8n^5}{3m^2n^3} \)?
\( 5m^4n^2 \)
\( 5m^6n^2 \)
\( 5m^{10}n^8 \)
\( 5m^4n^8 \)
8. What is the simplified form of \( \frac{-36x^4y^6z^3}{9x^2y^2z^3} \)?
\( -4x^2y^4z \)
\( -4x^2y^4 \)
\( 4x^2y^4 \)
\( -4x^6y^8z^6 \)
9. \( \frac{a^0}{a^5} = a^5 \)
True
False
10. \( \frac{x^7}{x^7} = 1 \)
True
False
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 \( \frac{30a^8b^k}{6a^5b^2} = 5a^3b^4 \)?