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Section 2.3 Fractional Exponents

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1 Section 2.3 Fractional Exponents
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2 I) Squares and Cubes © Copyright all rights reserved to Homework depot:

3 I) Revisit: Note: With all these rules, the Exponents are Integers! Ie: -1, -2, -3, -4, 0, 1, 2, ,3 ,4 ,…… © Copyright all rights reserved to Homework depot:

4 Fractional Exponents:
When dealing with fractional exponents, the exponent is a fraction The denominator indicates the ‘nth’ for the base If the exponent is negative, we take the reciprocal of the “base” (NOT the exponent!!) © Copyright all rights reserved to Homework depot:

5 The numerator in the exponent is the “power”
Again, if the exponent is negative, we take the reciprocal of the “base” (NOT the exponent!!) © Copyright all rights reserved to Homework depot:

6 Remember: Flower  Power, Root  Root
The flower is at the top, FLOWER – POWER Roots are at the bottom, ROOTS – ROOTS © Copyright all rights reserved to Homework depot:

7 Practice: Determine the exact value without a calculator
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8 What are Radicals? Radicals are numbers with a root sign
or when the exponent is a fraction Square Root   Cube Root   Forth Root   Higher Roots   © Copyright all rights reserved to Homework depot:

9 II) Square Root of a Number
When finding the square root of a number, do the opposite of “squaring” it Ex: Find the square root of each number © Copyright all rights reserved to Homework depot:

10 III) Cube Root of a Number
When cube rooting a number, find a number that is equal to it when cubed Ex: Find the cube root of each number © Copyright all rights reserved to Homework depot:

11 III) nth Root of a Number
Ex: Simplify each of the following without a calculator: © Copyright all rights reserved to Homework depot:

12 Practice: Simplify the following:
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13 Ex: Given that the volume of a cube is 1728cm3, find the length of each side
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14 III) Simplifying Radical Expressions
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15 Practice: Simplify © Copyright all rights reserved to Homework depot:

16 Challenge: Solve for “k”

17 Homework: Assignment 2.3

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