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Understanding Fractional Exponents in Mathematical Patterns

Explore the relationship between exponential and radical forms, discovering the pattern and significance of fractional exponents. Homework included.

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Understanding Fractional Exponents in Mathematical Patterns

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  1. Section 4.4fractional Exponents

  2. p. 222 TRY THISWith a partner, please fill in this table in your notes! Can you explain the pattern? What did you discover?

  3. So, what’s up? Exponential Form Radical Form The base becomes the radicand. The numerator becomes the exponent. The denominator becomes the index.

  4. Let’s start easy… Use radicals to evaluate powers. = 8 = 4 = (-3)2 = 9 = (4)5 = 1024

  5. Now backwards . . .

  6. Homework Time!

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