# Equations » Equations with fractional exponents

*Example 1*

x^{1.21} | = 70^{ } |

x | = 70 ^{11.21} |

x | ≈ 33.487 |

*Example 2*

5x^{–1.3} + 18 | = 40^{ } |

5x^{–1.3} | = 22^{ } |

x^{–1.3} | = 4.4^{ } |

x | = 4.4 ^{1–1.3} |

x | ≈ 0.320 |

*Example 1*

x^{1.21} | = 70^{ } |

x | = 70 ^{11.21} |

x | ≈ 33.487 |

*Example 2*

5x^{–1.3} + 18 | = 40^{ } |

5x^{–1.3} | = 22^{ } |

x^{–1.3} | = 4.4^{ } |

x | = 4.4 ^{1–1.3} |

x | ≈ 0.320 |