5.1 Radicals and Rational Exponents

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Presentation transcript:

5.1 Radicals and Rational Exponents Objectives Define and apply rational and irrational exponents Simplify expressions containing radicals or rational exponents

Nth Roots Examples: check Remember for simplification:

Example 1: Operations on nth Roots

Example 2: Evaluating nth Roots using a Calculator to the nearest Ten-thousandth Caution: Use brackets! Can simplify exponent Cannot simplify

Rational Exponents What are rational exponents of the form 1/n called? Rational exponents can also be of the form m/n.

Laws of Exponents (when are Exponents are Fractions!) Why is this important?

Example 3: Your Turn: Simplifying Expressions with Rational Exponents

Example 4: Your Turn: Simplifying Expressions with Rational Exponents

Example 5: Your Turn: Simplifying Expressions with Rational Exponents

Example 6: Your Turn: Simplifying Expressions with Rational Exponents

Rationalizing Denominators and Numerators Example 7: Rationalizing the Denominator Hint:

Example 8: Our Last: Rationalizing the Numerator What is this quotient called? Why do I keep coming back to this?

5.1 hmwr: