Mathematics 3

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Participation Exercises for Week 3 July 27, 2021

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Apply the product rule for exponents, if possible.

1) ∙ 1) _______

A) B) The product rule does not apply. C) h D)

Evaluate the expression.

2) + 2) ______

A) 0 B) -18 C) 2 D) -2

Write the expression with only positive exponents. Assume all variables represent nonzero numbers. Simplify if

necessary.

3) 3) _______

A) B) C) 18a D)

Evaluate the expression.

4) 4) _______

A) B) - C) - D)

Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all

variables represent nonzero numbers.

5) 5) _______

A) B) C) - D)

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Simplify the expression. Write your answer with only positive exponents. Assume that all variables represent nonzero

real numbers.

6) 6) _______

A) B) C) D)

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represen t

nonzero numbers.

7) 7) _______

A) B) C) D)

Express the number in scientific notation.

8) 0.0000000 346 0 3 8) _______

A) 3.46 0 3 × B) 3.46 0 3 × C) 3.46 0 3 × D) 3.46 0 3 ×

Express the number in standard notation.

9) -7.695 x 9) _______

A) -76,950,000 B) -76,950 C) -7,695,000 D) -769,500

Find the value of the expression.

10) 10) ______

A) 25,000 B) -25,000 C) 0.0000025 D) -0.0000025

Solve the problem. Express your answer in scientific notation, rounding as needed.

11) Assume that the volume of the earth is 5 × cubic meters and the volume of a bacterium is cubic

meters. If the earth could be filled with bacteria, how many would it contain? 11) ______

A) 2.0 × bacteria B) 5.0 × bacteria

C) 2.0 × bacteria D) 5.0 × bacteria

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Find the result that a calculator will give for the stated problem. Write your answer using the usual scientific notation.

12) ( 7.2E 17)/( 3E-7) 12) ______

A) 2.4 × B) 2.4 × C) 2.4 × D) 21.6 ×