P ROPERTIES OF E XPONENTS Algebra Seminar

M ULTIPLYING W ITH S AME B ASE Multiply. Write the product as one power. A B. n 5 n 7 C D

M ULTIPLYING To multiply powers with the same base, keep the base and add the exponents. b m b n = b m + n = = 3 13 Words NumbersAlgebra MULTIPLYING POWERS WITH THE SAME BASE

M ULTIPLYING W ITH D IFFERENT B ASE A. x 5 y 2 B When the bases are different, we can NOT combine them. C. b 6 h 4 D None of these examples can be simplified any further, so they need to stay the way they are.

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D IVIDING Divide. Write the product as one power A. x 10 x 9 B C. D. e 10 e 5

D IVIDING Notice what occurs when you divide powers with the same base = 5  5  55  5  5 5  5  5  5  5 = 5 5 = 5 2 = 5  5  55  5  5 5  5  5  5  5 DIVIDING POWERS WITH THE SAME BASE WordsNumbersAlgebra To divide powers with the same base, keep the base and subtract the exponents – = = b m – n b m b n =

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T HE Z ERO P OWER WordsNumbers Algebra The zero power of any number except 0 equals = 1 (–7) 0 = 1 a 0 = 1, if a  0