Multiplying Powers Worksheet
Grade 7 Math worksheet focusing on understanding and applying the rules for multiplying powers with the same base.
Includes
Standards
Topics
Multiplying Powers
Name:
Date:
Score:
Read each question carefully and follow the instructions to simplify the expressions involving powers.
1. When multiplying powers with the same base, what do you do with the exponents?
2. To simplify 5³ × 5⁴, you the exponents and keep the base.
3. The expression x⁵ × x² can be written as x to the power of .
4. Which of the following is equivalent to 3² × 3⁵?
3⁷
3¹⁰
9⁷
9¹⁰
5. Simplify: (2a³) (4a⁴)
8a⁷
8a¹²
6a⁷
6a¹²
Simplify the following expressions. Show your work.
6. 7⁶ × 7³
7. y⁸ × y
8. (2x²) (5x³)
9. m² × m⁵ × m
10. The expression 4³ × 4⁶ is equal to 4¹⁸.
True
False
11. When multiplying powers, you always multiply the bases.
True
False
12. A scientist is studying a bacterial culture. At the start of the experiment, there are 2³ bacteria. After one hour, the number of bacteria multiplies by 2⁴. After another hour, it multiplies by 2². How many bacteria are there in total at the end of the experiment? Express your answer as a single power.
Related Worksheets
Adding and Subtracting Rational Numbers
Practice adding and subtracting rational numbers, including fractions, decimals, and mixed numbers.
Binary Number System Worksheet
Explore the binary number system with this Grade 7 math worksheet. Convert between binary and decimal, understand place values, and solve problems.
Grade 7 Math: Mathematical Properties
Explore and apply the commutative, associative, distributive, and identity properties of addition and multiplication with this Grade 7 math worksheet.
Ordering Integers Worksheet
A Grade 7 math worksheet focusing on ordering and comparing integers using number lines and inequalities.
Evaluating Powers Worksheet
A Grade 7 math worksheet focused on evaluating powers, including positive, negative, and zero exponents.
Integer Word Problems Worksheet
Practice solving real-world integer word problems involving temperature, money, and elevation for 7th graders.
Greatest Common Divisor (GCD) Worksheet
Practice finding the Greatest Common Divisor (GCD) of numbers, including prime factorization and real-world problems for Grade 7 math.
Properties of Exponents Worksheet
A Grade 7 math worksheet focusing on understanding and applying the properties of exponents.