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.
Related Worksheets
Subtracting Negative Integers
Practice subtracting negative integers with this worksheet, featuring number line visualizations and word problems.
Consecutive Integers Worksheet
Explore consecutive integers, their properties, and solve problems involving sequences of numbers for Grade 6 math.
Grade 6 Number Forms Worksheet
Explore different ways to represent numbers, including standard, word, expanded, and scientific notation, for Grade 6 math students.
Positive and Negative Integers Worksheet
Explore positive and negative integers, comparing, ordering, and performing basic operations on a number line.
Powers of 10 Worksheet
Explore powers of 10 with this worksheet, covering multiplication, division, and identifying patterns for grade 6 math students.
Organizing Real Numbers
A Grade 6 math worksheet focused on ordering, comparing, and classifying real numbers including integers, fractions, and decimals.
Comparing Rational Numbers Worksheet
A Grade 6 math worksheet focused on comparing and ordering rational numbers using number lines and inequality symbols.
Introduction to Set Notation
Explore the basics of set notation, including identifying elements, subsets, and performing simple set operations like union and intersection.