Questions

MATH Integrated Math I - Unit 28: Exponents

For all of the problems in this unit, express the answers using positive exponents. For multiple choice questions, state the letter of the correct answer, when necessary, or select the correct answer, whichever is appropriate for the problem.

Properties of Exponents

1) Use the Product Property to simplify.

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2) Use the Product Property to simplify.

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3) Use the Product Property to simplify.

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4) Use the Power of a Power Property to simplify.

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5) Use the Power of a Power Property to simplify.

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6) Use the Power of a Product Property to simplify.

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7) Use the Power of a Product Property to simplify.

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8) Use the Power of a Product Property to simplify.

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9) Use the Power of a Quotient Property to simplify.

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10) Use the Power of a Quotient Property to simplify.

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11) Use the Power of a Quotient Property to simplify.

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12) Simplify.

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13) Use the Zero Exponent Property to simplify.

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14) Use the Negative Exponent Property to produce a positive exponent in the simplified expression.

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15) Apply the quotient property to simplify, and then express the quotient with a positive exponent.

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16) Simplify.

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17) Simplify.

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18) Simplify.

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19) Simplify.

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20) Simplify.

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Multiplying Monomials

For the remaining problems, express all answers using positive exponents. State the letter of the correct answer.

21) Find the product.

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22) Find the product.

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23) Find the product.

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24) Find the product.

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25) Find the product.

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26) What expression represents the volume of the rectangular prism? (V = lwh)

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27) What expression represents the area of the triangle? [A = (1/2)bh]

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Dividing Monomials

28) Find the quotient.

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29) Find the quotient.

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30) Find the quotient.

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31) What expression represents the edge of the cube?

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32) Which quotient is equivalent to the simplified expression?

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33) How many times larger is the volume of the larger cube than the volume of the smaller cube? (V = e^3 Hint: One approach to this problem is to calculate the volume of both cubes, then divide the volume of the larger cube by the volume of the smaller cube.)

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