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Algebra2Chap7Clark
Chapter 7
Question | Answer |
---|---|
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 |