Evaluating Powers Worksheet
Grade 11 Math worksheet focusing on evaluating powers with various bases and exponents, including rational and negative exponents.
Includes
Standards
Topics
Evaluating Powers
Name:
Date:
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Read each question carefully and evaluate the given powers. Show all your work for full credit.
1. What is the value of 8^(2/3)?
2
4
8
16
2. Simplify (x^3 * y^-2)^4.
x^7 * y^2
x^12 / y^8
x^12 * y^8
x^7 / y^2
3. Any non-zero number raised to the power of zero is .
4. To evaluate a power with a negative exponent, you take the of the base raised to the positive exponent.
5. Evaluate (1/2)^(-3). Show your steps.
6. Explain the difference between -4^2 and (-4)^2.
7. The expression (a^m)^n is equivalent to a^(m+n).
True
False
8. The square root of a number can be written as the number raised to the power of 1/2.
True
False
9. A bacterial colony doubles in size every hour. If you start with 100 bacteria, how many bacteria will there be after 5 hours? Express your answer using powers and then evaluate.
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