Today’s Agenda
• Attendance / Announcements
• Questions from HW?
• Quiz Tomorrow (1.3 – 1.5)
• Section 1.5 Exponents and R...
Exponents…continued
More Properties of Integer
Exponents
Exponents…continued
More Properties of Integer
Exponents
Simplify…
Simplify…(a lil‟ trick.)
5
2
2
16
3
3
9
27
Exponents…continued
More Properties of Integer
Exponents
Simplify…
Exponents…continued
Negative Exponents
We usually want our answers to be
written only in Positive
Exponents…So we need to ...
Simplify…
Exponents…continued
Negative Exponents
Simplify…
2
2
y
x
2
3
4
3
z
yx
¡CHALLENGE !
43231
34 xx
¡CHALLENGE !
3
24
23
5
y
x
x
x
Properties of Exponents
• You‟ll need to know the entire
list on page 41.
Classwork…Part I
• Page 46
1 – 21 every other odd
43 – 49 odd
...Ask questions if you have
„em!
Rational Exponents  Radicals
You can think of fraction exponents
as radicals…and vice versa
Rational Exponents (p. 44)
So, if n is an even integer and a ≥ 0;
or if n is odd, then
n
aan
1
When dealing with radicals/...
Rational Exponents  Radicals
And if the root exists…
n
m
aan m
An example of when the root doesn’t
exist…
Rewrite in radical notation
3
2
x 4
3
)3( y
Rewrite in exponent notation
5
x 3
7 3
3 x
Rational Exponents  Radicals
Another Way to simplify
5
2
32
Properties of Radicals (p. 44)
Radicals can be separated across
multiplication and division.
Properties of Radicals
We use these properties when we
simplify roots.
72
Properties of Radicals
80245205
Remember, we can only add “like”
terms
Properties of Radicals
2353
Classwork / Homework
•Page 34
1 – 87 every other odd
...Ask questions if you have
„em!
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Lecture 1.5 bt

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Lecture 1.5 bt

  1. 1. Today’s Agenda • Attendance / Announcements • Questions from HW? • Quiz Tomorrow (1.3 – 1.5) • Section 1.5 Exponents and Radicals
  2. 2. Exponents…continued More Properties of Integer Exponents
  3. 3. Exponents…continued More Properties of Integer Exponents
  4. 4. Simplify…
  5. 5. Simplify…(a lil‟ trick.) 5 2 2 16 3 3 9 27
  6. 6. Exponents…continued More Properties of Integer Exponents
  7. 7. Simplify…
  8. 8. Exponents…continued Negative Exponents We usually want our answers to be written only in Positive Exponents…So we need to rewrite.
  9. 9. Simplify…
  10. 10. Exponents…continued Negative Exponents
  11. 11. Simplify… 2 2 y x 2 3 4 3 z yx
  12. 12. ¡CHALLENGE ! 43231 34 xx
  13. 13. ¡CHALLENGE ! 3 24 23 5 y x x x
  14. 14. Properties of Exponents • You‟ll need to know the entire list on page 41.
  15. 15. Classwork…Part I • Page 46 1 – 21 every other odd 43 – 49 odd ...Ask questions if you have „em!
  16. 16. Rational Exponents  Radicals You can think of fraction exponents as radicals…and vice versa
  17. 17. Rational Exponents (p. 44) So, if n is an even integer and a ≥ 0; or if n is odd, then n aan 1 When dealing with radicals/roots, we always need to think about…
  18. 18. Rational Exponents  Radicals And if the root exists… n m aan m An example of when the root doesn’t exist…
  19. 19. Rewrite in radical notation 3 2 x 4 3 )3( y
  20. 20. Rewrite in exponent notation 5 x 3 7 3 3 x
  21. 21. Rational Exponents  Radicals Another Way to simplify 5 2 32
  22. 22. Properties of Radicals (p. 44) Radicals can be separated across multiplication and division.
  23. 23. Properties of Radicals We use these properties when we simplify roots. 72
  24. 24. Properties of Radicals 80245205 Remember, we can only add “like” terms
  25. 25. Properties of Radicals 2353
  26. 26. Classwork / Homework •Page 34 1 – 87 every other odd ...Ask questions if you have „em!

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