# Rational exponents & radicals

Learn about expressions with rational exponents like x^(2/3), about radical expressions like √(2t^5), and about the relationship between these two forms of representation. Learn how to evaluate and simplify such expression.

This course contains 7 segments:

**Exponent properties review**

Practice using the exponent properties to rewrite powers, where the exponent is an integer that can either be positive or negative.

**Radicals**

Radicals (also known as roots) are a generalization of square roots. They are the inverse operation of any power. For example, the 5th root of 32 is 2, because 2⁵=32.

**Rational exponents intro**

Learn the definition for raising a number by a fractional exponent, like 8^⅔.

**Properties of exponents (rational exponents)**

In this tutorial you will rewrite variable expressions with rational exponents using the properties of exponents.

**Advanced exponent & radical evaluation**

Evaluate elaborate expressions that contain radicals and fractional exponents.

**Simplifying square roots**

We know how to evaluate square roots of perfect squares. For example, √16=4. What about the other square roots? It's harder to give an exact number, but we can simplify them so we have a better understanding of their value. For example, √32=4⋅√2. Learn more about it in this tutorial.

**Simplifying radicals (higher-index roots)**

Just like we can simplify square roots, we can simplify other radicals. This tutorial covers the simplification of higher-index roots. For example, ∜48=2⋅∜3.

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Length | 7 segments |

Starts | On Demand (Start anytime) |

Cost | Free |

From | Khan Academy |

Download Videos | On all desktop and mobile devices |

Language | English |

Subjects | Mathematics |

Tags | Math |

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Rating | Not enough ratings |
---|---|

Length | 7 segments |

Starts | On Demand (Start anytime) |

Cost | Free |

From | Khan Academy |

Download Videos | On all desktop and mobile devices |

Language | English |

Subjects | Mathematics |

Tags | Math |

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