Math Practice Problems - Multiplying and Dividing Exponent Expressions

Math Software Online: MathScore.com

MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free!

Multiplying and Dividing Exponent Expressions - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

Want unlimited math worksheets? Learn more about our online math practice software.
See some of our other supported math practice problems.

Complexity=5, Mode=divide

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'

Complexity=5, Mode=3

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'

Complexity=5, Mode=4

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'

Complexity=5, Mode=5

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'

Answers

Complexity=5, Mode=multiply

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'

#	Problem	Correct Answer	Your Answer
1	1⁸⁰ × 1^-81	Final Exponent: 1 Value:
Solution When you multiply two exponent expressions with the same common base, you can add the exponents. Final exponent = 80 + -81 = -1 1⁸⁰ × 1^-81 = 1^-1 1^-1 = 1

#	Problem	Correct Answer	Your Answer
2	2^-81 × 2⁸⁴	Final Exponent: 2 Value:
Solution When you multiply two exponent expressions with the same common base, you can add the exponents. Final exponent = -81 + 84 = 3 2^-81 × 2⁸⁴ = 2³ 2³ = 8

Complexity=5, Mode=divide

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'

#	Problem	Correct Answer	Your Answer
1	2^-6 ÷ 2^-3	Final Exponent: 2 Value:
Solution When you divide two exponent expressions with the same common base, you can subtract the exponents. Final exponent = -6 - -3 = -3 2^-6 ÷ 2^-3 = 2^-3 2^-3 = 1/8

#	Problem	Correct Answer	Your Answer
2	1^-84 ÷ 1^-81	Final Exponent: 1 Value:
Solution When you divide two exponent expressions with the same common base, you can subtract the exponents. Final exponent = -84 - -81 = -3 1^-84 ÷ 1^-81 = 1^-3 1^-3 = 1

Complexity=5, Mode=3

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'

#	Problem	Correct Answer	Your Answer
1	3^-2 ÷ 3⁸¹ ÷ 3^-85	Final Exponent: 3 Value:
Solution When you multiply two exponent expressions with the same common base, you can add the exponents. When you divide two exponent expressions with the same common base, you can subtract the exponents. Final exponent = -2 - 81 - -85 = 2 3^-2 ÷ 3⁸¹ ÷ 3^-85 = 3² 3² = 9

#	Problem	Correct Answer	Your Answer
2	2^-65 × 2^-75 × 2¹⁴²	Final Exponent: 2 Value:
Solution When you multiply two exponent expressions with the same common base, you can add the exponents. When you divide two exponent expressions with the same common base, you can subtract the exponents. Final exponent = -65 + -75 + 142 = 2 2^-65 × 2^-75 × 2¹⁴² = 2² 2² = 4

Complexity=5, Mode=4

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'

#	Problem	Correct Answer	Your Answer
1	5^-27 ÷ 5^-19 ÷ 5^-71 ÷ 5⁶⁵	Final Exponent: 5 Value:
Solution When you multiply two exponent expressions with the same common base, you can add the exponents. When you divide two exponent expressions with the same common base, you can subtract the exponents. Final exponent = -27 - -19 - -71 - 65 = -2 5^-27 ÷ 5^-19 ÷ 5^-71 ÷ 5⁶⁵ = 5^-2 5^-2 = 1/25

#	Problem	Correct Answer	Your Answer
2	1^-85 × 1⁶⁴ ÷ 1⁷⁴ ÷ 1^-97	Final Exponent: 1 Value:
Solution When you multiply two exponent expressions with the same common base, you can add the exponents. When you divide two exponent expressions with the same common base, you can subtract the exponents. Final exponent = -85 + 64 - 74 - -97 = 2 1^-85 × 1⁶⁴ ÷ 1⁷⁴ ÷ 1^-97 = 1² 1² = 1

Complexity=5, Mode=5

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'

#	Problem	Correct Answer	Your Answer
1	1⁷⁷ × 1^-94 ÷ 1⁶⁰ × 1^-92 × 1¹⁶⁷	Final Exponent: 1 Value:
Solution When you multiply two exponent expressions with the same common base, you can add the exponents. When you divide two exponent expressions with the same common base, you can subtract the exponents. Final exponent = 77 + -94 - 60 + -92 + 167 = -2 1⁷⁷ × 1^-94 ÷ 1⁶⁰ × 1^-92 × 1¹⁶⁷ = 1^-2 1^-2 = 1

#	Problem	Correct Answer	Your Answer
2	5⁵³ ÷ 5^-82 × 5⁹⁷ ÷ 5⁵⁰ ÷ 5¹⁸¹	Final Exponent: 5 Value:
Solution When you multiply two exponent expressions with the same common base, you can add the exponents. When you divide two exponent expressions with the same common base, you can subtract the exponents. Final exponent = 53 - -82 + 97 - 50 - 181 = 1 5⁵³ ÷ 5^-82 × 5⁹⁷ ÷ 5⁵⁰ ÷ 5¹⁸¹ = 5¹ 5¹ = 5

Learn more about our online math practice software.

"MathScore works."
- John Cradler, Educational Technology Expert

© Copyright 2010 Accurate Learning Systems Corp. All rights reserved.