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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 |

Created by:
KarenBrinker