EXPONENTS Definition Negative Exponents Multiplication of Exponents Dividing Exponents Raising Exponents Add & subtract Exponents Base of 10 rule Scientific.

Slides:



Advertisements
Similar presentations
The Laws of Exponents Animated floating petals (Difficult)
Advertisements

Laws of Exponents. Exponential Notation Base Exponent Base raised to an exponent.
Laws of Exponents. Remember: Rule 1—Multiplying like bases  When multiplying like bases, keep the base and ADD the exponents.
4 6 Base Exponent The exponent is sometimes referred to as the power.
Exponent Rules Repeated Multiplication Remember: so and.
Laws of Exponents. Day 1: Product and Quotient Rules EXP 1.1 I can use the Product and Quotient Rules to simplify algebraic expressions.
© 2007 by S - Squared, Inc. All Rights Reserved.
The Laws of Exponents.
Exponents and Scientific Notation
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:
Rules of Exponents In this lesson, you will be able to simplify expressions involving zero and negative exponents.
The Laws of Exponents.
Exponents. Location of Exponent An exponent is a little number high and to the right of a regular or base number. 3 4 Base Exponent.
Standardized Test Practice
Scientific Notation Review
Warm Up I can simplify expressions with exponents. 1. What is the value of 3x 3 +2 when x=10? 2. You put $500 in an account that doubles every year. 
 To add numbers in scientific notation: 1) Add the constants 2) Keep the exponent the same  Example: (2.1 x 10 5 ) + (3.2 x 10 5 ) = ( ) x 10.
5-4 Scientific Notation (p )
Integer Exponents Day 1. Definitions  Base: The term/variable of which is being raised upon  Exponent: The term/variable is raised by a term. AKA Power.
Scientific Notation. Positive Exponents  10 1 = 10  10 2 = 10X10= 100  10 3 = 10X10X10 = 1000  10 4 = 10X10X10X10 = 10,000.
Aim: How do we solve equations with fractional or negative exponents?
Exponents Properties. Warm Up Solve the following equations: 3 = 3x + 1 6x + 7 = 61 5a – 34 = -9.
EXPONENTS Definition Negative Exponents Multiplication of Exponents Dividing Exponents Raising Exponents Add & subtract Exponents Base of 10 rule Scientific.
Exponents Power base exponent means 3 factors of 5 or 5 x 5 x 5.
Exponents and Polynomials
Solve the equation -3v = -21 Multiply or Divide? 1.
P2 Exponents & Radicals. What does an exponent tell you?? Repeated Multiplication How many times you multiply the base by itself.
Exponents.
How do we use the laws of exponents?. The zero power Anything to the power of zero is one.
MAT111 epw 9/18/06 The Decimal Number System or The Power of the Powers of 10.
Exponents and Division
Exponents. Location of Exponent An exponent is a little number high and to the right of a regular or base number. 3 4 Base Exponent.
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.
By Kevin Le. Exponent Laws  There are 3 different exponent laws. -Multiplication Law – You must add the exponents together when you multiply powers with.
Integer Exponents 8 th Grade. Simplify Negative Exponents.
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE:
Exponents base exponent means 3 factors of 5 or 5 x 5 x 5.
Thinking Mathematically Number Theory and the Real Number System 5.6 Exponents and Scientific Notation.
Simplifying Exponents How do I know when it is simplified???  Only one of each base  Constants simplified  NO negative or zero exponents.
PROPERTIES OF EXPONENTS
Exponents base exponent. The Rules of Exponents: The exponent of a power indicates how many times the base multiplies itself.
Exponents Power base exponent means 3 factors of 5 or 5 x 5 x 5.
2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Scientific Notation Multiplication.
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.
Powers and Laws of Exponents SWBAT write the standard form for numbers that are given in exponential form; write the exponential form for numbers that.
Unit 2: Exponents Review. What is on the test??? 1.Exponent Rules 2.Perfect Squares 3.Square Roots / Cube Roots 4.Estimating Non-Perfect Squares 5.Scientific.
EXTENDING THE NUMBER SYSTEM Rational exponents to radical Exponent Rules Simplifying radicals Irrational and rational numbers Vocabulary.
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?
Opener Evaluate when x = 4.. Test Review Simplifying Exponent Rules.
Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +
TUESDAY 2.Solve the following equations. a. b. 3.Graph the line. 10x 5 -36x 14 -6r 7 = 13 + r -13 r = – x = -3x + x -8 = -2x x = 4.
Exponents Power base exponent means 3 factors of 5 or 5 x 5 x 5.
Warm up! Simplify the following 1.Paraphrase the rules for multiplying exponents? 2.What order do the exponents have to be in? 3.x 3 x 7 x x 2 4.3x 3 4x.
Laws of Exponent Review. Laws of Exponent Law of Zero Exponent a º = 1 Law of Negative Exponent a -n = 1/ a n ; 1/ a -n = a n Law of Multiplying Powers.
Lesson 45: Exponents, The Rules
Multiplying with exponents
The Laws of Exponents.
Simplifying Exponential Multiplication Expressions.
Warm-Up Evaluate when x = 4..
Lesson 5-1 Properties of Exponents
Today’s Lessons: Exponent Rules
Multiplying and Dividing Powers
The Laws of Exponents.
The Laws of Exponents.
The Laws of Exponents.
The Laws of Exponents.
The Laws of Exponents.
EXPONENT RULES.
Warm-up!! 8/20/2019 Day 6.
Presentation transcript:

EXPONENTS Definition Negative Exponents Multiplication of Exponents Dividing Exponents Raising Exponents Add & subtract Exponents Base of 10 rule Scientific Notation

WHAT ARE EXPONENTS? Exponents are equations where a base number is multiplied by itself a number of times designated by the superscript also known as power or index. Base Power

LETS TRY IT!! 1.Identify the base 2. Identify the power Write out the problem 2x2x2x2 4. Solve the problem 16

NEGATIVE EXPONENTS

LETS TRY IT!!

MULTIPLYING AND DIVIDING EXPONENTS

LETS TRY IT!! 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 512

LETS TRY IT!! 2

EXPONENT TO THE “N” POWER

LETS TRY IT!! x 2 x2 8

Now what happens if I open up a can of worms and have you perform the previous exponent lessons with multiple bases?

MANIPULATING EXPONENTS WITH DIFFERENT BASES 1.Expand each base and its corresponding exponent. 2.Add, subtract, multiply or divide the two numbers. (4 x 4 x4) + (2 x 2 x 2) Step 1 Step 2

POWER OF ZERO? Law of exponents states any base raised to the power of zero is equal to 1

EXPONENTS WITH BASE OF 10

SCIENTIFIC NOTATION By using the law of exponents with base of 10 we can simplify numbers in standard notation that are large or small.