may 5, 2009 review of 10.4 and chapter 10 study guide
TRANSCRIPT
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May 5, 2009
Review of 10.4 and Chapter 10 study guide
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p. 705 # 2-42 even, # 52-62 even
2) 6i4) -5i6) i √198) 2i √610) -8i √312) 6+8i14) -7+4i16) 4+i
18) 9+2i20) 5+8i22) 10+3i24) 2-4i26) 028) -6+14i30) -6+12i32) -35-10i
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p. 705 # 2-42 even, # 52-62 even, continued
34) -3+2i36) 13-11i38) 25-8i40) 11+23i42) 40+42i52) 3+5i54) -3+2i56) 10-15i/13
58) -3+5i/260) 13+i/1762)45+28i/53
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Study Guide answers
1) 2) x3)
4) 165) 1/27
6) 1+9i7) 12 + 9i8)
3 22233 yzxzxy
98
5
zy
x5
2324 i
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Ameena’s tips for the test
I hope my students remember about:The rules for exponentsHow to simplify radicals
How to evaluate rational exponents on their calculatorsAll about imaginary numbers
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The rules for exponents
nn
nmn
m
nmnm
aa
aaa
aaa
a
1
10
mm
m
mm
nmnm
nnn
aa
ba
ba
aa
baab
1
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How to simplify radicals
• Make a factor tree • Look for groups based on the radical’s index.• Move groups to the outside; leave non-groups
on the inside.• Example:
4 71013162 zyx
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How to evaluate rational exponents on the calculator
• If the exponent is negative, move the base and exponent to the denominator and remove the negative.
• Evaluate the base and exponent (m/n), usingbase ^ (m/n) orbase [yx ] (m/n)
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All about imaginary numbers
Remember…You can only add and subtract like terms.When you multiply, use FOIL or a similar
method, and remember to replace i2 with -1.
When you are dealing with division, remember to multiply the numerator and the denominator by the conjugate of the denominator.
1
12
i
i
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