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5.7 Rational Exponents Fraction Exponents

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 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

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

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Homework Page 261 – 262 # 21 – 61 odd, 65

Homework Page 261 # 22 – 62 even

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