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Copy of Laws of Exponents
Transcript of Copy of Laws of Exponents
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
Project done by Dillon Westrich project by Dillon Westrich