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For more information, please see full course syllabus of Pre Algebra
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Lecture Comments (3)

0 answers

Post by Denise Bermudez on February 14, 2015

I agree it is way too quick and too many short cuts. I dont think there is enough explaination involved.

1 answer

Last reply by: sherman boey
Thu Aug 7, 2014 9:06 AM

Post by Diego Cristancho on September 12, 2010

she goes tooooo freaken fast!!!!!! takes shortcuts and confuses new students!!! slow down!

Zero and Negative Exponents

  • An exponent that is a negative number indicates that you are to perform repeated multiplication of the reciprocal of the base.
  • A negative exponent represents repeated division or repeated multiplication of the multiplicative inverse, also known as the reciprocal.
  • A zero exponent on a nonzero base means the power has a value of 1.

Zero and Negative Exponents

24 =
  • 2 ·2 ·2 ·2 =
16
3 − 3 =
  • [1/(33)] =
  • [1/(3 ·3 ·3)] =
[1/27]
5 − 2 =
  • [1/(52)] =
  • [1/(5 ·5)] =
[1/25]
70 =
1
− 70 =
  • − (70)
− 1
( − 7)0 =
1
([3/7])−2 =
  • ([7/3])2 =
  • [(72)/(32)] =
[49/9]
−([2/3])−3 =
  • −([3/2])3 =
  • −([(33)/(23)]) =
−[27/8]
(− [5/7])−2 =
  • ( − [7/5])2 =
  • [(( − 7)2)/(52)] =
[49/25]
42 ·( − 1) − 3−4 =
  • 16 ·( − 1) − [1/(34)] =
  • − 16 − [1/81] =
− 16[1/81]

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

Zero and Negative Exponents

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • What You'll Learn and Why 0:06
    • Topics Overview
  • Vocabulary 0:22
    • Zero Exponents: Arithmetic Definition
    • Zero Exponents: Algebra Definition
    • Negative Exponents: Arithmetic Definition
    • Negative Exponents: Algebra Definition
  • Simplifying Exponents 1:18
    • Examples: Simplifying Exponents
  • Fractions and Negative Exponents 2:41
    • Examples: Fractions and Negative Exponents
  • Extra Example 1: Negative Exponent 3:58
  • Extra Example 2: Zero Exponent 4:30
  • Extra Example 3: Fraction and Negative Exponent 4:40
  • Extra Example 4: Subtracting Numbers with Exponents 5:00