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Evaluating Powers Worksheet

Grade 11 Math worksheet focusing on evaluating powers with various bases and exponents, including rational and negative exponents.

Grade 11 Math Number SenseEvaluating Powers
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSN.RN.A.2

Topics

MathGrade 11PowersExponentsAlgebra
7 sections · Free to use · Printable
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Evaluating Powers

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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)?

a

2

b

4

c

8

d

16

2. Simplify (x^3 * y^-2)^4.

a

x^7 * y^2

b

x^12 / y^8

c

x^12 * y^8

d

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).

T

True

F

False

8. The square root of a number can be written as the number raised to the power of 1/2.

T

True

F

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.