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Modified over 6 years ago
Laws of Exponents
Review An exponent tells you how many times the base is multiplied by itself. h 5 means h∙ h∙ h∙ h∙ h Any number to the zero power is 1! Any number to the first power is itself! exponent base
Product Rule Same base? Then add the exponents a m ∙ a n = a m+n Examples: k 8 ∙ k 7 = (a 4 )(a 2 ) = 9x 7 x 5 x = (4r 3 )(5r 6 ) =
Quotient Rule Same base? Subtract the larger exponent from the smaller exponent. Write difference where the larger exponent was (upstairs or down)
Quotient Rule Same base? Subtract the larger exponent from the smaller exponent. Examples:
Power To A Power Rule Multiply the exponents (a m ) n = a m∙n Examples: (c 6 ) 4 = 5(m 4 ) 4 = (9h) 2 =
Multiply the exponents (a m ) n = a m∙n More Examples: (s 3 q 5 ) 2 = (2xy 4 ) 3 = 4(5r 6 ) 2 =
Zero Exponent? Product or quotient of powers with the same base? Simplify Negative Exponents.
The Laws of Exponents Animated floating petals (Difficult)
Laws of Exponents. Remember: Rule 1—Multiplying like bases When multiplying like bases, keep the base and ADD the exponents.
The Laws of Exponents.
Damia D Bases and Exponents An exponent tells you how many times the base is multiplied by itself. x 4 = x ·x ·x ·x In this case, the larger number,
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:
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.
ALGEBRA 1 Operations with Integers
EXAMPLE 2 Evaluate exponential expressions a. 6 – Product of a power property = 6 0 Add exponents. = 1 Definition of zero exponent = 6 –
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.
Exponents Power base exponent means 3 factors of 5 or 5 x 5 x 5.
Exponents and Polynomials
Chapter 6 Polynomial Functions and Inequalities. 6.1 Properties of Exponents Negative Exponents a -n = –Move the base with the negative exponent to the.
Exponents and Division
Monomials – Product and Quotient Remember your rules for multiplying and dividing variables…- When multiplying like variables, ADD your exponents When.
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE:
Exponents base exponent means 3 factors of 5 or 5 x 5 x 5.
Exponents base exponent. The Rules of Exponents: The exponent of a power indicates how many times the base multiplies itself.
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