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Essential Question: Explain the meaning of using radical expressions

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

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

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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

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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.

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

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

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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:

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Y OUR T URN

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Writing in simplest form:

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Y OUR T URN Simplify

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Assignment Page 388 - 389 1 – 25 & 31 – 49 Odd problems Show work

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