L Like Bases Vocab and General Rules Like Terms Common Bases Negative Exponents Examples Vocabulary 4 X 3 Coefficient Base Exponent or Power -a number or quantity placed (generally) before and multiplying another quantity, as 3 in the expression 3x. -a symbol or number placed above and after another symbol or number to denote the power to which the latter is to be raised -the number that serves as a starting point for a logarithmic or other numerical system.

General Rules Terms being multiplied

- add exponents

Terms being divided

-Subtract exponents Power to a Power

-Multiply exponents Laws of Exponents

the theorem stating the elementary properties of exponents, as the property that the product of the same bases, each raised to an exponent, is equal to the base raised to the sum of the exponents In order to use the Laws of Exponents, the bases must be alike

Laws of Exponents Common Bases: 2 2 = 2 3 = 2 4 = 2 5 = 2 6 = 4 8 16 32 64 3 3 3 3 3 2 4 5 = = = = 9 27 81 243 4 4 4 2 3 4 = = = 16 64 256 5 5 5 = = = 2 3 4 25 125 625 These are common throughout math, memorization of these bases will help in higher levels of math A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. Negative Exponents Like Bases - In order to use the Laws of Exponents, the bases MUST be a like ex: 13y x 13y 5 11 - note: (refer back to vocabulary if you are confused)

the bases (y in this case) are not multiplied, but the

coefficients are. = 169y 16 LIKE TERMS are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only like terms can be combined. We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily. To combine like terms, we add the coefficients and keep the variables the same. - ex: 5x - 2y + 3x - 7y = 8x - 9y

Now that you have completed the lesson, please print out this document and answer these questions after you have FULLY understood the concepts. http://www.augustatech.edu/math/molik/Exponents.pdf

Thank You!

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