Monomials and the Exponent Rules Worksheet with Answer Key

What's on the worksheet

1. Multiply monomials, writing each answer as a single monomial:
   (6p^2)(-5p^7)(-4w)(-7w^5)(-3r^2s)(2rs^4)(0.5k^3)(8k^4)(4ab^2)(-a^3c)
2. Divide monomials, with positive exponents and the coefficient in lowest terms:
   \dfrac{56k^{10}}{-8k^2}\dfrac{14r^3s^6}{21r^3s^2}\dfrac{-30a^2b^5}{-12a^6b}\dfrac{20m^4n}{50mn^3p^2}
3. Simplify powers of products first, then multiply or divide:
   (-2a^2b)^3(3ab^4)(5m^3)(-m^2n)^2\dfrac{(6x^3y)^2}{9x^4y^5}\dfrac{(-3p^2)^3}{(3p)^2}
4. Simplify expressions with negative exponents, giving positive exponents only:
   (5x^{-2}y)(3x^6y^{-4})\dfrac{-9u^{-4}v}{12u^{-1}w^{-2}}(3m^{-2})^{-2} \cdot m^{-3}\dfrac{(2x^3)^{-1}}{x^{-5}y^0}
5. Word problem: the flooring area of Hannah's bedroom after the closet is removed.
6. Find the product and quotient of each pair of monomials, and say if each is a monomial:
7. Word problem: the area of a banner written as a monomial.