Dividing Monomials Worksheet
Grade 11 Math worksheet focusing on dividing monomials, applying exponent rules, and simplifying algebraic expressions.
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Dividing Monomials Worksheet
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Simplify each expression by dividing the monomials. Remember to apply the rules of exponents. Show all your work.
1. Simplify the expression: \( \frac{12x^5y^3}{3x^2y} \)
2. Simplify the expression: \( \frac{25a^7b^4c^2}{5a^3b^2c} \)
3. Simplify the expression: \( \frac{-48m^{10}n^6}{6m^4n^5} \)
4. When dividing monomials with the same base, you the exponents.
5. Any non-zero base raised to the power of zero is equal to .
6. The simplified form of \( \frac{x^8}{x^3} \) is .
7. Which of the following is the correct simplification of \( \frac{18p^6q^9}{9p^2q^3} \)?
\( 2p^3q^3 \)
\( 2p^4q^6 \)
\( 9p^4q^6 \)
\( 2p^8q^{12} \)
8. What is the result of dividing \( -30x^4y^7 \) by \( 6x^2y^2 \)?
\( -5x^2y^5 \)
\( -5x^6y^9 \)
\( 5x^2y^5 \)
\( -24x^2y^5 \)
9. The expression \( \frac{15a^4b^2}{3a^4b^2} \) simplifies to \( 5ab \).
True
False
10. \( \frac{x^{10}}{x^2} = x^5 \).
True
False
11. A rectangular garden has an area represented by the monomial \( 72x^7y^5 \). If the width of the garden is \( 9x^3y^2 \), what is the length of the garden? (Hint: Area = Length × Width)