May 5, 2009

Review of 10.4 and Chapter 10 study guide

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

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

Study Guide answers

1) 2) x3)

4) 165) 1/27

6) 1+9i7) 12 + 9i8)

3 22233 yzxzxy

98

5

zy

x5

2324 i

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

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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