Quotient of Powers Worksheet
Practice applying the quotient of powers rule to simplify expressions with exponents for Grade 6 math.
Includes
Standards
Topics
Quotient of Powers Practice
Name:
Date:
Score:
Read each question carefully and simplify the expressions using the quotient of powers rule. Show your work where indicated.
Simplify each expression. Show your steps.
1. 5⁶ / 5²
2. x⁹ / x³
3. (3⁸) / (3⁵)
4. y¹⁰ / y⁷
Choose the simplified form of the expression.
5. Which expression is equivalent to 7¹² / 7⁴?
7¹⁶
7⁸
7³
7⁴⁸
6. What is the simplified form of (a⁵b³) / (a²b)?
a⁷b⁴
a³b²
a³b³
a²b²
Complete the statements below.
7. To divide powers with the same base, you their exponents.
8. The expression m⁷ / m² simplifies to .
9. When simplifying (2¹⁰) / (2⁴), the result is .
Indicate whether each statement is True or False.
10. (6⁸) / (6²) = 6⁴
True
False
11. The quotient of powers rule only applies if the bases are different.
True
False
Solve the following problem.
12. A scientist is observing a bacterial colony that initially had 10⁸ cells. After an experiment, the colony size was reduced to 10³ cells. By what factor was the colony size reduced? Express your answer as a power.