Notes 5-1 Radicals and Rational Exponents

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Presentation transcript:

Notes 5-1 Radicals and Rational Exponents Warm-up Page 334 #1,4,7,10,13 How are expressions containing radicals or rational exponents simplified?

Answers to Warm-ups 12 -3 0.2 9 13. 16

I. Nth Root Odd powers resemble the cubic graph. How are expressions containing radicals or rational exponents simplified? I. Nth Root Odd powers resemble the cubic graph. Even powers resemble the quadratic graph. If , then Remember Power of Power Property E.

I. Examples Simplify each expression. . How are expressions containing radicals or rational exponents simplified? I. Examples Simplify each expression. .

I. Examples continued Simplify each expression. . How are expressions containing radicals or rational exponents simplified? I. Examples continued Simplify each expression. .

How are expressions containing radicals or rational exponents simplified? I. Examples continued Use a calculator to approximate each expression to the nearest ten- thousandths. A. . B. .

How are expressions containing radicals or rational exponents simplified? Let’s Practice: Page 334 #23, 33,37

Warm-up Day 2 Page 334 #2,5,8 How are expressions containing radicals or rational exponents simplified?

II. Properties Review Rational Exponent Theorem Product of Powers: How are expressions containing radicals or rational exponents simplified? II. Properties Review Rational Exponent Theorem 2. Product of Powers: Power of a Product: Quotient of Powers:

II. Properties Review Cont How are expressions containing radicals or rational exponents simplified? II. Properties Review Cont E. Power of a Quotient: F. Zero Exponent: G. Negative Exponent:

II. Examples continued Write the expression How are expressions containing radicals or rational exponents simplified? II. Examples continued Write the expression using only positive exponents. Simplify the expression

How are expressions containing radicals or rational exponents simplified? Let’s Practice 2: Page 334 #41,47,53

How are expressions containing radicals or rational exponents simplified? HOMEWORK: Page 334 #22, 26, 32, 36, 42, 50, 54, 58, 62, 66