lecture 1.5 bt
TRANSCRIPT
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Today’s Agenda
• Attendance / Announcements
• Questions from HW?
• Quiz Tomorrow (1.3 – 1.5)
• Section 1.5 Exponents and Radicals
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Exponents…continuedMore Properties of Integer
Exponents
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Exponents…continuedMore Properties of Integer
Exponents
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Simplify…
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Simplify…(a lil‟ trick.)
5
2
2
163
3
9
27
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Exponents…continuedMore Properties of Integer
Exponents
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Simplify…
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Exponents…continuedNegative Exponents
We usually want our answers to be
written only in Positive
Exponents…So we need to rewrite.
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Simplify…
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Exponents…continuedNegative Exponents
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Simplify…2
2y
x2
3
43
z
yx
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¡CHALLENGE !
43231 34 xx
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¡CHALLENGE !
3
24
235
y
x
x
x
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Properties of Exponents
• You‟ll need to know the entire
list on page 41.
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Classwork…Part I
• Page 46 1 – 21 every other odd
43 – 49 odd
...Ask questions if you have „em!
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Rational Exponents Radicals
You can think of fraction exponents
as radicals…and vice versa
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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…
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Rational Exponents Radicals
And if the root exists…
nm
aan m
An example of when the root doesn’t
exist…
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Rewrite in radical notation
32
x 43
)3( y
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Rewrite in exponent notation5x 3 7 33 x
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Rational Exponents Radicals
Another Way to simplify
52
32
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Properties of Radicals (p. 44)
Radicals can be separated across
multiplication and division.
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Properties of Radicals
We use these properties when we
simplify roots.
72
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Properties of Radicals
80245205
Remember, we can only add “like”
terms
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Properties of Radicals
2353
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Classwork / Homework
• Page 34 1 – 87 every other odd
...Ask questions if you have „em!