# Rational exponents

**Key Concepts: Rational exponents **

Textbook sections and practice problems7.2: 1-109 odd |

Expressing roots and radicals with exponentsAssuming that a is in the domain and n is a positive integer , |

**Example 1**

Express each radical expression using a rational exponent.

**Example 2**

Express each exponential expression in radical form.

Assuming that a is in the domain and m and n are positive integers , |

**Example 3**

Simplify each radical expression after first rewriting the expression in
exponential form.

**Example 4**

Find each number on your calculator . (Round to the nearest 100^{th}).

**Example 5**

Find each number without the use of your calculator .

**Example 6**

Find each function value .

Find f (−17) where

Find g (64) where

Find k (−8) where

**Example 7**

Graph each equation on your calculator and copy the graph onto the provided
grid. Then state the

domain and range of the function.

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