Grade 11 Exponent Operations Worksheet

This worksheet provides practice problems on various exponent operations for Grade 11 students, including multiplication, division, power of a power, and negative exponents.

Grade 11 Math Number SenseExponent Operations

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Includes

4 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.cCCSS.MATH.CONTENT.HSA.APR.D.6

Topics

MathGrade 11ExponentsAlgebraNumber Sense

8 sections · Free to use · Printable

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Grade 11 Exponent Operations

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Read each question carefully and simplify the expressions using the rules of exponents. Show all your work.

Simplify the following expressions. (Product Rule)

1. x^5 * x^3

2. (2y^4)(3y^2)

3. (-4a^2b^3)(5ab^5)

Simplify the following expressions. (Quotient Rule)

1. m^7 / m^2

2. (12p^6) / (3p^2)

3. (20x^5y^8) / (4x^2y^3)

Simplify the following expressions. (Power of a Power Rule)

1. (z^4)^3

2. (2t^3)^4

3. (-3c^2d^5)^2

Simplify the following expressions. (Negative and Zero Exponent Rules)

1. 5^-2

2. x^0

3. (7ab^3)^0

4. 1 / y^-3

Choose the correct simplified expression.

1. Simplify: (x^2 * y^3)^2

x^4 y^6

x^4 y^5

x^2 y^5

x^4 y^9

2. Simplify: (15a^7b^3) / (5a^2b^5)

3a^5b^-2

3a^5/b^2

3a^5b^2

3a^9/b^8

Determine if the following statements are true or false.

1. (x^3)^2 = x^9

True

False

2. Any non-zero number raised to the power of zero is 1.

True

False