| Exponent - How many ounces Alice eats/drinks. The number of times the base is multiplied by itself - Ab - AxAxA Base - How much her height increases/decreases when she eats 1 ounce. Logarithm - Exponential function - Exponent of zero and always true when it equals 1. If Alice eats/drinks zero ounces hey height stays the same so you multiply her height by one. 2^5 = 32 2^4 = 32/2 = 16 2^3 = 16/2 = 8 2^2 = 8/2 = 4 2^1 = 4/2 = 2 2^0 = 2/2 = 1 2^5 x 2^0 = 2^5+0 = 2^5 same as 2^5 x 1 = 2^5 The line never quite reaches zero at 2^0, it goes to one. How to use addittive law of exponents and repeated exponentiation and show why they work. Additive law- (a^x)(a^y)= a^x+y. Alice eat/drinkss different amounts at different times. The base stays the same but the exponents/ounces add to each other because the amount of ounces changes. Repeated exponentiation (a^x)y = a^xy Alice eats/drinks the same amount of ounces at different times. Negative exponents Fraction for an exponent Logarithm Scientific notation |
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