Download presentation
Presentation is loading. Please wait.
Published byHilary McKenzie Modified over 9 years ago
1
Laws of Exponents
2
Exponential Notation Base Exponent Base raised to an exponent
3
Goal To write simplified statements that contain distinct bases, one whole number in the numerator and one in the denominator, and no negative exponents. Ex:
4
Description of Lesson This power point will address the laws of exponents in the following manner: 1.Explore how the rule works. 2.State the rule. 3.Provide an example with a solution. 4.Provide extra examples (Find me to get solutions)
5
Exploration Evaluate the following without a calculator: 3 4 = 3 3 = 3 2 = 3 1 = Describe a pattern and find the answer for: 3 0 = 81 27 9 3 1 ÷ 3
6
Zero Power Anything to the zero power is one Can “a” equal zero? a 0 = 1 No. You can’t divide by 0.
7
Exploration Simplify:
8
Product of a Power If you multiply powers having the same base, add the exponents.
9
Example Simplify:
10
Practice Simplify the following expressions:
11
Exploration Simplify:
12
Power of a Power To find a power of a power, multiply the exponents.
13
Example Simplify:
14
Practice Simplify the following expressions:
15
Exploration Simplify:
16
Power of a Product If a base has a product, raise each factor to the power
17
Example Simplify:
18
Practice Simplify the following expressions:
19
Negative Powers A simplified expression has no negative exponents.
20
Example Simplify:
21
Example Simplify:
22
Practice Simplify the following expressions:
23
Exploration Simplify:
24
Quotient of a Power To find a quotient of a power, subtract the bottom exponent from the top if the bases are the same.
25
Example Simplify:
26
Practice Simplify the following expressions:
27
Exploration Simplify:
28
To find a power of a quotient, raise the denominator and numerator to the same power. Power of a Quotient
29
Example Simplify:
30
Practice Simplify the following expressions:
Similar presentations
© 2024 SlidePlayer.com Inc.
All rights reserved.