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- Power rule formula essay

Exponent procedures, legal guidelines with exponent along with examples.

*a ^{n}* =

×* a*

n times

a is that bottom part and n might be the particular exponent.

3^{1} = 3

3^{2} = 3 scarlet cover letter track essay 3 = 9

3^{3} = 3 × 3 × 3 = 27

3^{4} = 3 × 3 × 3 × 3 = 81

3^{5} = 3 × 3 × 3 × 3 × 3 = 243

Rule name | Rule | Example |
---|---|---|

Product rules | a ⋅ ^{ n}a = ^{ m}a^{ n+m} | 2^{3} ⋅ 2^{4} = 2^{3+4} = 128 |

a ⋅ ^{ n}b = (^{ n}a ⋅ b)^{ n} | 3^{2} ⋅ 4^{2} = (3⋅4)^{2} = 144 | |

Quotient rules | a / ^{ n}a = ^{ m}a^{ n}^{-m} | 2^{5} Or 2^{3} = 2^{5-3} = 4 |

a / ^{ n}b = (^{ n}a / benjamin franklin great importance essay n | 4^{3} And 2^{3} = (4/2)^{3} = 8 | |

Power rules | (b)^{n}^{m} = b^{n⋅m} | (2^{3})^{2} = 2^{3⋅2} = 64 |

_{b}n^{m}_{= b}(n^{m}) | _{2}3^{2}_{= 2}(3^{2})_{= 512} | |

^{m}√(b) = ^{n} b^{n/m} | ^{2}√(2^{6}) = 2^{6/2} = 8 | |

b^{1/n} = √^{n}b | 8^{1/3} = ^{3}√8 = 2 | |

Negative exponents | b = 1 Or ^{-n}b^{n} | 2^{-3} = 1/2^{3} = 0.125 |

Zero rules | b^{0} = 1 | 5^{0} = 1 |

0 = 0for ^{n}n>0 | 0^{5} = 0 | |

One rules | b^{1} = b | 5^{1} = 5 |

1 = 1^{n} | 1^{5} = 1 | |

Minus a particular rule | (-1)^{5} = -1 | |

Derivative rule | (x)^{n}' = n⋅x^{ n}^{-1} | (x^{3})' = 3⋅x^{3-1} |

Integral rule | ∫ x = ^{n}dx x^{n}^{+1}/(n+1)+C | ∫ x^{2}dx = power concept components essay products rules## Product rule using exact base
a character test task eng1d1 ^{m}a^{n+m}Example: 2 ## Product principle having very same exponent
b = (^{n}a ⋅ b)^{n}Example: 3 See: Multplying exponents ## Exponents quotient |