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4.4 Fractional Exponents and Radicals. Construct Understanding.

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Presentation on theme: "4.4 Fractional Exponents and Radicals. Construct Understanding."— Presentation transcript:

1 4.4 Fractional Exponents and Radicals

2 Construct Understanding

3

4 REMEMBER Grade 9? BASE

5 REMEMBER Grade 9? EXPONENT

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

7 WHAT IS A FRACTIONAL EXPONENT?

8 A FRACTIONAL EXPONENT with a numerator 1

9 Without a calculator, Calculate What do you notice?

10

11 Similarly,

12 Without a calculator, Calculate What do you notice?

13

14

15 This suggests

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

17 Evaluate each power without using a calculator

18 POWERPOINT PRACTICE PROBLEM Evaluate each power without using a calculator

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

20 RECALL.. So, for example,

21 = 4 But, this is also true…

22 = 4

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

24

25

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27 The brain mass of the husky is approximately 0.09 kg.

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

29

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

31 QUIZ O Sections 4.1 – 4.3 O Friday, July 25


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