Lecture 1.5 bt
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Transcript of Lecture 1.5 bt
Today’s Agenda
• Attendance / Announcements
• Questions from HW?
• Quiz Tomorrow (1.3 – 1.5)
• Section 1.5 Exponents and Radicals
Exponents…continuedMore Properties of Integer
Exponents
Exponents…continuedMore Properties of Integer
Exponents
Simplify…
Simplify…(a lil‟ trick.)
5
2
2
163
3
9
27
Exponents…continuedMore Properties of Integer
Exponents
Simplify…
Exponents…continuedNegative Exponents
We usually want our answers to be
written only in Positive
Exponents…So we need to rewrite.
Simplify…
Exponents…continuedNegative Exponents
Simplify…2
2y
x2
3
43
z
yx
¡CHALLENGE !
43231 34 xx
¡CHALLENGE !
3
24
235
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
naan1
When dealing with radicals/roots, we
always need to think about…
Rational Exponents Radicals
And if the root exists…
nm
aan m
An example of when the root doesn’t
exist…
Rewrite in radical notation
32
x 43
)3( y
Rewrite in exponent notation5x 3 7 33 x
Rational Exponents Radicals
Another Way to simplify
52
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!