Rational (fraction) Exponents Please READ as well as take notes & complete the problems followed in these slides.

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Presentation transcript:

Rational (fraction) Exponents Please READ as well as take notes & complete the problems followed in these slides.

Radical expression and Exponents By definition of Radical Expression. The index of the Radical is 3.

How would we simplify this expression? What does the fraction exponent do to the number? The number can be written as a Radical expression, with an index of the denominator.

The Rule for Rational Exponents

Write in Radical form

Write each Radical using Rational Exponents

What about Negative exponents Negative exponents make inverses.

What if the numerator is not 1 Evaluate

What if the numerator is not 1 Evaluate

What if the numerator is not 1 Evaluate

For any nonzero real number b, and integer m and n Make sure the Radical express is real, no b<0 when n is even.

Simplify each expression No fraction in the denominators.

Simplify