Quotient of Powers Worksheet
Practice problems for grade 12 students on simplifying expressions using the quotient of powers rule.
Includes
Standards
Quotient of Powers Worksheet
Name:
Date:
Score:
Simplify each expression using the quotient of powers rule. Show all your work.
1. Simplify $\frac{x^8}{x^3}$.
2. Simplify $\frac{y^{12}}{y^4}$.
3. Simplify $\frac{a^5b^7}{a^2b^3}$.
4. Simplify $\frac{12m^{10}n^6}{3m^7n^2}$.
5. Which of the following is equivalent to $\frac{p^{15}}{p^5}$?
$p^3$
$p^{10}$
$p^{20}$
$p^{75}$
6. Simplify $\frac{x^0y^5}{y^2}$.
$xy^3$
$y^3$
$x^0y^3$
$y^7$
7. When dividing powers with the same base, you the exponents.
8. The expression $\frac{k^9}{k^{-2}}$ simplifies to .
9. $\frac{x^6}{x^6} = x^0 = 1$.
True
False
10. $\frac{(ab)^8}{(ab)^3} = (ab)^5$.
True
False
11. Explain in your own words the quotient of powers rule and provide an example.