Rational Exponents.

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Presentation transcript:

Rational Exponents

The Rule for Rational Exponents

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.

Write in Radical form

Write in Radical form

Write each Radical using Rational Exponents

Write each Radical using Rational Exponents

What about Negative exponents Negative exponents make inverses.

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.

What if the numerator is not 1 Evaluate

What if the numerator is not 1 Evaluate

Simplify each expression

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Practice Problems