Properties of Exponents Worksheet

Grade 11 Math worksheet covering the properties of exponents, including product rule, quotient rule, power rule, zero exponent rule, and negative exponent rule.

Grade 11 Math Number SenseExponentsProperties of Exponents

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.cCCSS.MATH.CONTENT.HSN.RN.A.2

Topics

exponentsalgebrapropertiesmathgrade 11

6 sections · Free to use · Printable

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Properties of Exponents

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Read each question carefully and simplify all expressions using the properties of exponents. Show all your work for full credit.

1. Simplify the expression: (x^3 * x^5) / x^2

x^10

x^6

x^8

x^4

2. Which of the following is equivalent to (2a^2b^3)^4?

8a^6b^7

16a^8b^12

2a^8b^12

16a^6b^7

3. Any non-zero number raised to the power of zero is .

4. When multiplying exponents with the same base, you the powers.

5. Simplify the expression completely, showing all steps: (3x^-2y^3)^-2

6. Evaluate the expression: (2^3 * 2^4) / 2^5

7. The expression (a^m)^n is equivalent to a^(m+n).

True

False

8. A negative exponent indicates a reciprocal.

True

False