Dividing Powers Worksheet
Practice dividing powers with the same base and different bases for 7th-grade math students.
Includes
Standards
Topics
Dividing Powers
Name:
Date:
Score:
Read each question carefully and follow the instructions to simplify the expressions involving dividing powers.
Simplify the following expressions. Write your answer using positive exponents.
1. 5^7 / 5^3
2. x^9 / x^2
3. (2^4 * 2^5) / 2^3
Choose the correct simplification for each expression.
4. Which of the following is equivalent to 7^8 / 7^2?
7^10
7^6
7^4
7^16
5. Simplify (a^5 * b^3) / (a^2 * b).
a^7 * b^4
a^3 * b^2
a^3 * b^3
a^2 * b^2
Complete the following statements about dividing powers.
6. When dividing powers with the same base, you the exponents.
7. Any non-zero base raised to the power of zero is always equal to .
Determine if each statement is true or false.
8. (6^5 / 6^5) = 1
True
False
9. 10^0 = 0
True
False
10. Simplify (3^2 * 3^6) / (3^4 * 3^1).
11. If 2^a = 32, and 2^b = 8, what is the value of 2^(a-b)?
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.