Properties of Exponents Worksheet
A Grade 7 math worksheet focusing on understanding and applying the properties of exponents.
Includes
Standards
Topics
Properties of Exponents
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show your work where applicable.
1. Which of the following expressions is equivalent to 3⁵ × 3²?
3¹⁰
3⁷
9⁷
9¹⁰
2. Simplify the expression (x⁴)³.
x⁷
x¹²
3x⁴
4x³
3. Any non-zero number raised to the power of zero is equal to .
4. When dividing exponents with the same base, you the powers.
5. The expression 2⁻³ is equivalent to 1/8.
True
False
6. (ab)⁵ is equal to a⁵ + b⁵.
True
False
7. Explain the product of powers property of exponents. Give an example.
8. Simplify the expression (2x³y²)⁴.
Match each property with its example.
9. Product of Powers
a. (x³)⁴ = x¹²
10. Power of a Power
b. x⁵ ⋅ x² = x⁷
11. Zero Exponent
c. x⁶ / x² = x⁴
12. Quotient of Powers
d. 7⁰ = 1