Dividing Monomials Worksheet
Practice worksheet for Grade 9 students focusing on dividing monomials with various exponents and coefficients.
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Dividing Monomials Practice
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Read each question carefully and show all your work. Simplify your answers completely. Remember the rules for dividing exponents.
1. When dividing monomials with the same base, you the exponents.
2. The quotient of two monomials is also a .
3. Any non-zero base raised to the power of zero is equal to .
4. Simplify: \( \frac{12x^5}{3x^2} \)
5. Simplify: \( \frac{20a^7b^3}{5a^4b} \)
6. Simplify: \( \frac{-18m^6n^2}{9m^3n^2} \)
7. Simplify: \( \frac{36p^8q^5r}{6p^2qr} \)
8. Which of the following is equivalent to \( \frac{48y^{10}}{6y^4} \)?
\( 8y^{14} \)
\( 8y^6 \)
\( 42y^6 \)
\( 42y^{14} \)
9. What is the result of \( \frac{-30c^9d^6}{-5c^3d^2} \)?
\( 6c^6d^4 \)
\( -6c^6d^4 \)
\( 6c^{12}d^8 \)
\( -6c^{12}d^8 \)
10. \( \frac{15x^4}{5x^4} = 3 \)
True
False
11. \( \frac{x^0}{x^0} = 1 \) for any non-zero x.
True
False
12. The area of a rectangle is \( 24x^8y^5 \) square units. If the width of the rectangle is \( 4x^3y^2 \) units, what is its length?
13. A cube has a volume of \( 64m^{12} \) cubic units. If the length of one side is \( 4m^4 \) units, what is the area of one face of the cube?