Essential Question: Explain the meaning of using radical expressions

 Another way to write a radical expression is to use a radical exponent.  Examples: Radical FormExponent Form = = =

 Rational Exponents can be simplified just like their radical counterparts.  Examples: 

 Y OUR TURN  Simplify  Note that: 1) Like variables, you can add exponents when the base is the same 2) You can multiply bases when the exponent is the same

 A rational exponent may have a numerator other than 1. The property (a m ) n = a mn shows how to rewrite such an expression.  or   Basically, the numerator is the power a number is being raised to. The denominator is the root a number is being taken to.

 We can convert between the two forms  Write the exponential expression in radical form:   Write the radical expressions in exponential form: 

 Y OUR T URN  Write the exponential expression in radical form:   Write the radical expressions in exponential form: 

 Simplifying Numbers with Radical Exponents  All the properties of integer exponents also apply to rational exponents.  See page 381 in your books for a summary.  Examples:

 Y OUR T URN 

 Writing in simplest form: 

 Y OUR T URN  Simplify 

 Assignment  Page  1 – 25 & 31 – 49  Odd problems  Show work