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# Exponent Rules

### Rules involving exponents and how to simplify exponential expressions

Question | Answer |
---|---|

The property that states : "When multiplying powers with the same base, add the exponents" | Product of Powers |

The property that states : "When dividing powers with the same base, subtract the exponents" | Quotient of Powers |

The property that states : "Any base raised the zero power is equal to one" | Zero Exponent |

The property that states : "When raising a power to a power, multiply the exponents" | Power of Powers |

The property that states : "When raising a product to a power, give that power to all of the factors" | Power of Products |

The property that states : "When raising a quotient to a power, give that power to the numerator and the denominator" | Power of Quotients |

This is a way to write large and small numbers using powers of 10 | Scientific Notation |

When raising the number "3" to the "-2" power, you get "1/9". What is this property called? | Negative Exponents |

When multiplying "(3x)(5x^2)" what should you multiply first? | Coefficients |

What operation do you do with the exponents in this problem? "(x^2)(x^7)" | Add |

What operation do you do with the exponents in this problem? "(x^2)^5" | Multiply |

What operation do you do with the exponents in this problem? "(x^9)/(x^-3)" | Subtract |