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Chapter 7

Product of powers postulate b^m*b^n=b^m+n
Power of a power postulate (b^m)^n=b^m*n
Power of a product postulate (ab)^m=a^m b^m
Quotient of powers postulate b^m/b^n=b^m-n
Power of a quotient postulate (a/b)^m=a^m/b^m
zero exponent theorem b^0=1
Negative exponent theorem b^-n=1/b^n
Anual Interest Compound Formula A=P(1+n)^t
Interest Compound more than once a year A=P(1+r/2)^2r
General Compound interest formula A=P(1+r/n)^nt
Geometric Constant ratio gn/gn-1=r
Arithmetic is: adding
Geometric is: Multiplying
nth root b is an nth root of x, if and only if b^n=x
number of real roots theorem POSITIVE every positive real number has: 2 real nth roots, when n is even. 1 real nth root, when n is odd.
number of real roots theorem NEGATIVE every negative real number has: 0 real nth roots, when n is even. 1 real nth root, when n is odd.
Rstionsl exponent theorem x^m/n=(x^1/n)^m x^m/n=(x^m)^1/n
solving equations with positive rational exponens is written as: if a=b, then a^n=b^n
Created by: KarenBrinker