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4.4 Fractional Exponents and Radicals

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Construct Understanding

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REMEMBER Grade 9? BASE

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REMEMBER Grade 9? EXPONENT

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REMEMBER Grade 9? We can further use it to calculate fractional exponents with numerator 1…

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WHAT IS A FRACTIONAL EXPONENT?

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A FRACTIONAL EXPONENT with a numerator 1

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Without a calculator, Calculate What do you notice?

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Similarly,

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Without a calculator, Calculate What do you notice?

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This suggests

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Powers with Rational Exponents When n is a natural number and x is a rational number,

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Evaluate each power without using a calculator

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POWERPOINT PRACTICE PROBLEM Evaluate each power without using a calculator

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What if…. The numerator in the exponent IS NOT 1? ??

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RECALL.. So, for example,

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= 4 But, this is also true…

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= 4

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Powers with Rational Exponents When m and n are natural numbers and x is a rational number,

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The brain mass of the husky is approximately 0.09 kg.

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The brain mass of the polar bear is approximately 0.34 kg.

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Section 4.4 HOMEWORK O PAGES: 227 – 228 O PROBLEMS:

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QUIZ O Sections 4.1 – 4.3 O Friday, July 25

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