Zero and Negative EXPONENTS. A nonzero number to the zero power is 1: Basically that means: ANYTHING RAISED TO THE ZERO POWER (EXCEPT ZER0) IS 1!!!! A.

Slides:



Advertisements
Similar presentations
Exponent Rules.
Advertisements

Definition of Let b represent any real number and n represent a positive integer. Then, n factors of b.
Exponent Rules Practice. Multiplying Monomials Keep the base Add the exponents Multiply Coefficients if you see any.
Zero Exponent? Product or quotient of powers with the same base? Simplify Negative Exponents.
The Laws of Exponents Animated floating petals (Difficult)
Homework Read pages 304 – 309 Page 310: 1, 6, 8, 9, 15, 28-31, 65, 66, 67, 69, 70, 71, 75, 89, 90, 92, 95, 102, 103, 127.
Homework Read pages 304 – 309 Page 310: 1, 6, 8, 9, 15, 17, 23-26, 28-31, 44, 51, 52, 57, 58, 65, 66, 67, 69, 70, 71, 75, 77, 79, 81, 84, 86, 89, 90, 92,
Exponent Rules – Day 1 Zero and Negative Exponents.
Laws of Exponents. Remember: Rule 1—Multiplying like bases  When multiplying like bases, keep the base and ADD the exponents.
© 2007 by S - Squared, Inc. All Rights Reserved.
The Laws of Exponents.
x 5 * x 2 x 5+2 x7x7 Example 1 Simplify. a) = b b) b 7 b 3 = Example 2 Simplify.
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:
The Laws of Exponents.
Let’s start by reviewing what you know … Exponents … PowersWhen you take a number to a positive power, you multiply it by itself repeatedly.
Lesson 8-1 Negative & Zero. Your Goal: Simplify expressions containing integer exponents.
Course Look for a Pattern in Integer Exponents Lesson 7-1 Negative & Zero.
Dividing Monomials Honors Math – Grade 8. Quotient of Powers Look for a pattern in the exponents. 3 factors 5 factors KEY CONCEPT Quotient of Powers To.
Exponents Power base exponent means 3 factors of 5 or 5 x 5 x 5.
7.4 MULTIPLICATION AND EXPONENTS:
7.9 Negative Exponents Objective: To use negative exponents. Warm – up: Simplify. 1)2)3) Evaluate. 4) 5 0 5) 6) 7)
How do we use the laws of exponents?. The zero power Anything to the power of zero is one.
Exponent Rules Essential Question: How can I simplify and evaluate algebraic equations involving integer exponents?
Exponents and Division
Dividing Monomials Chapter 8-2 S. Calahan  To divide two powers that have the same base, subtract the exponents. b 15 ÷ b 7 = b 15-7 = b 8 Quotient.
Describe the pattern in the following example. Division Rule - When dividing two powers with the same base, subtract the exponents.
8-2 Dividing Monomials Objectives Students will be able to: 1)Simplify expressions involving the quotient of monomials 2)Simplify expressions containing.
Dividing Monomials: The Quotient Rule and Integer Exponents.
Multiplication Properties of Exponents Multiplying with Like Bases and Exponents Keep the base the same and add the exponents. Ex: 3 2  3 7 = 3 9 x 4.
Bell Ringer 9/18/15 1. Simplify 3x 6x 2. Multiply 1 X Divide 2 ÷
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:
Exponent Rules Algebra 2/Trig. Parts When a number, variable, or expression is raised to a power, the number, variable, or expression is called the base.
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE:
Slide 1- 1 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Exponents base exponent means 3 factors of 5 or 5 x 5 x 5.
Algebraic Fractions  Know your rules  Anything raised to the 0 power = 1  Negative exponents can be moved to the opposite and made positive (that is,
Warm-up, 3/28 Compute: 1. 2 x 2 x 2 x 2 = 2. 3 x 3 x 3 = 3. 2 x 2 x 3 x 3 x 3 = 4. 5 x 5 x 2 x 2 = 5. 2 x 2 x 4 =
Exponents and Rules for Exponents Standard Form Factored Form Exponential Form 1=2 0 2=2=2 1 4 =2. 2 =2 2 8 = = = =2 4.
Chapter 7: Exponential Functions
Objective- To solve problems involving negative exponents and zero exponents. A negative exponent is an inverse! x -1 = 1 x Scientific Calculator Reciprocal.
The Rules of Exponents Algebra The Rules of Exponents.
Exponent Rules. Parts When a number, variable, or expression is raised to a power, the number, variable, or expression is called the base and the power.
ZERO POWERS LESSON 17.
Test Answers 1.B 2.D 3.A 4.C C 7.D 8.B 9.40 feet boys 11.e $570 u $ (0, 2) 13.(-4, 0) 14.y = 2x D C 20.D.
Zero and Negative Exponents This presentation was created following the Fair Use Guidelines for Educational Multimedia. Certain materials are included.
 When a number, variable, or expression is raised to a power, the number, variable, or expression is called the base and the power is called the exponent.
WARM UP Zero and Negative Exponents EXPONENTIAL TERMS xyxy base exponent.
Use definition of zero and negative exponents
Algebra 1 Warm Up.
Zero power - Any nonzero number raised to the zero power is always one (60 = 1) 4.6 Negative and Zero Exponents 24 = = 1 21 = 2 22 = 4 23 =
INTEGRALS – Negative Exponents. ** used the power rule INTEGRALS – Negative Exponents.
Do Now: Silently, independently, on the back of you Guided Notes.
 Anything to the power of zero is one  4 0 =1  X 0 =1  =?
6.1 Properties of Exponents Use properties of exponents Use negative and zero as an exponent EQ: What are the general rules involving properties of exponents?
Bell-Ringer School Day: 20 September 9 th, a) -9  -6 = b) 42 ÷ -7 = 2. a) 5 3 =  b) Expand each of the following: 3.
Opener Evaluate when x = 4.. Test Review Simplifying Exponent Rules.
Zero and Negative Exponents. Raising a Number to the Zero Power  Anything raised to the zero power is 1, except 0 to the zero power.  0 to the zero.
Exponents Power base exponent means 3 factors of 5 or 5 x 5 x 5.
6.1 PROPERTIES OF EXPONENTS OBJECTIVE: TO SIMPLIFY EXPRESSIONS USING THE PROPERTIES OF EXPONENTS.
Cornell Notes – Topic: Laws of Exponents
Lesson 8.2 Notes Quotient of Powers- to divide two powers that have the same base, subtract the exponents – Ex: Power of a Quotient- to find the power.
1.8 Dividing Real Numbers Objectives To Divide Real Numbers To evaluate algebraic expressions involving multiplication and division.
Dividing Monomials Chapter 8-2 S. Calahan 2008.
Exponent Properties Product of Powers: 23 ● 22 = 23+2 = 25
Exponent Rules.
7 Laws of Exponents #1  .
Exponents: Negative & Zero
Exponential Functions
Negative and Zero Exponents
Presentation transcript:

Zero and Negative EXPONENTS

A nonzero number to the zero power is 1: Basically that means: ANYTHING RAISED TO THE ZERO POWER (EXCEPT ZER0) IS 1!!!! A nonzero number to the zero power is 1: Basically that means: ANYTHING RAISED TO THE ZERO POWER (EXCEPT ZER0) IS 1!!!!

We can not have negative exponents, so we have two rules dealing with negatives!!

Negative Exponents 1 st Negative Exponent Rule: is just the reciprocal of And when we do the reciprocal, there will not be a negative in the denominator. 1 st Negative Exponent Rule: is just the reciprocal of And when we do the reciprocal, there will not be a negative in the denominator. 1 st Negative Exponent Rule: is just the reciprocal of And when we do the reciprocal, there will not be a negative in the denominator. 1 st Negative Exponent Rule: is just the reciprocal of And when we do the reciprocal, there will not be a negative in the denominator. 1 st Negative Exponent Rule: is just the reciprocal of And when we do the reciprocal, there will not be a negative in the denominator. 1 st Negative Exponent Rule: is just the reciprocal of And when we do the reciprocal, there will not be a negative in the denominator.

Let’s Try Some Examples!! = = = = = =

Negative Exponents 2 nd Negative Exponent Rule You do not want a negative exponent in the denominator.

Try these !! = = = = =

Now lets put it all together!!

Classwork = = = = = = = =

Homework