Evaluating Powers Worksheet
This worksheet focuses on evaluating powers with various bases and exponents, including negative bases, fractional exponents, and zero exponents, suitable for Grade 9 Math students.
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Topics
Evaluating Powers
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Read each question carefully and evaluate the given powers. Show all your work for full credit.
1. In the expression 5³, the base is and the exponent is .
2. Any non-zero number raised to the power of zero is always .
3. When a number is raised to a negative exponent, it means to take the of the base raised to the positive exponent.
4. What is the value of (-3)²?
-9
9
-6
6
5. Which expression is equivalent to 1/8?
2³
2⁻³
(-2)³
8⁻¹
6. Evaluate 4³.
7. Evaluate (-2)⁴.
8. Evaluate 7⁰.
9. Evaluate 5⁻².
10. The expression -2⁴ is equal to 16.
True
False
11. (1/3)² is equal to 1/9.
True
False
12. A scientist observes a bacterial colony that doubles in size every hour. If the colony starts with 100 bacteria, how many bacteria will there be after 5 hours? Express your answer as a power and then evaluate it.
13. Evaluate the expression: (2/3)³.