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Lecture Comments (6)

0 answers

Post by sherman boey on August 9, 2014

why do u need to move to 1 decimal place for example 3? whats the reason?

1 answer

Last reply by: Professor Fung
Sat Jul 6, 2013 7:04 AM

Post by Tami Cummins on July 1, 2013

Why aren't you distributing 3.14 to the raised 10?

2 answers

Last reply by: Saakshi Dhingra
Sun Sep 22, 2013 2:14 PM

Post by Nancy Dempsey on March 2, 2011

You should slow down. you are doing it too fast.

Power Rules

  • When raising a power to a power, multiply the exponents.
  • When raising a product to a power, raise each factor to the power.
  • The difference between multiplying two powers and raising a power to a power occurs with the exponents. In multiplying two powers you add the exponents. When raising a power to a power you multiply the exponents.

Power Rules

(42)2 =
  • 42 ×2 =
  • 44 =
256
(53)− 2 =
  • 53 ×( − 2) =
5 − 6
(9 − 4) − 7 =
  • 9 − 4 ×( − 7) =
928
(4x)3 =
  • 43 ×x3 =
64x3
(xy2) − 4 =
  • x − 4 ×y2 ×( − 4) =
x − 4y − 8
([1/2]a2b − 5)2 =
  • [1/4] ×a2 ×2 ×b − 5 ×2 =
[1/4]a4b − 10
Use the formula Surface Area = 4π r2 to find the surface area of a sphere with radius 5 × 10−3 m . Use π = 3.14.
  • SA = (4)(3.14)(5 ×10 − 3 m)2 =
  • (12.56)(25 ×10 − 6 m2) =
314 ×10 − 6 m2
Compare the two values: 35 ·3 − 2 and (35)−2.
  • 35 ·3−2 = 35 − 2 = 33
(35) − 2 = 35 ×( − 2) = 3 − 10
Find the area of a square whose sides are 3.2 ×104 inches.
  • A = s2
  • A = (3.2 ×104 in)2 =
10.24 ×108 in2
Find the volume of a sphere with a radius of 8.1 ×10 − 2 inches. Use the formula Volume = [4/3]πr3 and leave your answer in terms of π .
  • V = [4/3]π(8.1 ×10−2 in)3
  • V = [4/3]π(531.441 ×10 − 6 in3)
V = 708.588π×10 − 6 in3

*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

Power Rules

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 0:04
    • Topics Overview
  • Vocabulary 0:15
    • Exponent
    • Power
  • Raising a Power to a Power 0:44
    • Example: Raising a Power to a Power
  • Raising a Power to a Power 2:38
    • More Examples
  • Raising a Product to a Power 3:00
    • Example: Raising a Product to a Power
  • Raising a Product to a Power 4:00
    • Example: Surface Area of a Plant Cell
    • Example: Surface Area of the Moon
  • Extra Example 1: Raising Power to a Power 8:08
  • Extra Example 2: Complete the Inequality Statement 8:22
  • Extra Example 3: Find the Area of a Square 8:51
  • Extra Example 4: Find the Area of a Circle 10:28