Online Calculators & Tools

* please Use e for scientific notation. E.g: 6e3, 3e-8, 1.45e12

** To determine the exponent, use the exponentation and base results, use our logarithm calculator:

Calculation with base^exponent:

Logarithm calculator

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

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

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 | |

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

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

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

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

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

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

Integral rule | ∫ x = ^{n}dxx^{n}^{+1}/(n+1)+C | ∫ x^{2}dx = x^{2+1}/(2+1)+C |

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