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Unit: Radical Functions 7-4: Rational Exponents

Unit: Radical Functions 7-4: Rational Exponents. Essential Question: Explain the meaning of using radical expressions. 7-4: Rational Exponents. Another way to write a radical expression is to use a radical exponent. Examples:. 7-4: Rational Exponents.

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Unit: Radical Functions 7-4: Rational Exponents

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  1. Unit: Radical Functions7-4: Rational Exponents Essential Question: Explain the meaning of using radical expressions

  2. 7-4: Rational Exponents • Another way to write a radical expression is to use a radical exponent. • Examples:

  3. 7-4: Rational Exponents • Rational Exponents can be simplified just like their radical counterparts. • Examples:

  4. 7-4: Rational Exponents • Your 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

  5. 7-4: Rational Exponents • A rational exponent may have a numerator other than 1. The property (am)n = amn shows how to rewrite such an expression. or • Basically, the numerator is the powera number is being raised to. The denominator is the roota number is being taken to.

  6. 7-4: Rational Exponents • We can convert between the two forms • Write the exponential expression in radical form: • Write the radical expressions in exponential form:

  7. 7-4: Rational Exponents • Your Turn • Write the exponential expression in radical form: • Write the radical expressions in exponential form:

  8. 7-4: Rational Exponents • 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:

  9. 7-4: Rational Exponents • Your Turn

  10. 7-4: Rational Exponents • Writing in simplest form:

  11. 7-4: Rational Exponents • Your Turn • Simplify

  12. 7-4: Rational Exponents • Assignment • Page 388 - 389 • 1 – 25 & 31 – 49 • Odd problems • Show work

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