Intermediate Algebra Exam 4 Material Radicals, Rational Exponents & Equations.
Algebra I Review - Properties of Exponents web.notebook
Transcript of Algebra I Review - Properties of Exponents web.notebook
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Algebra I Review Properties of Exponents web.notebook
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January 26, 2009
Jan 1711:15 AM
Algebra I ReviewProperties of Exponents
Objective:Use properties of exponents to simplify algebraic expressions.
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Algebra I Review Properties of Exponents web.notebook
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Complete the "Exponents Activity" with your group.
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Algebra I Review Properties of Exponents web.notebook
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For every nonzero number a, a0 = 1
1an
For every nonzero number a and integer n,
an =
From your activity, you should have discovered the following two properties:
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Algebra I Review Properties of Exponents web.notebook
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Simplify the following:
1. 43 =
2. (4)3 =
3. 70 =
4. 71 =
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23 25 =
62 64 =
126 122 =
With your group, solve these problems.Find a general rule for problems that look like these.
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January 26, 2009
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GENERAL RULE am an = am + n
TRY SOME
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Algebra I Review Properties of Exponents web.notebook
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January 26, 2009
Jan 1711:58 AM
Simplify.1. (5x5)(3y6)(3x2) =
2. a6b3 a2b2 =
3. c2c7 =
4. m2 4r3 12r4 5m =
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Algebra I Review Properties of Exponents web.notebook
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January 26, 2009
Jan 1712:25 PM
With your group, solve these problems.Find a general rule for problems that look like these.
(3a)3 =
(2x)4 =
(4y)2 =
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GENERAL RULE
(ab)n = an bn
TRY SOME
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Algebra I Review Properties of Exponents web.notebook
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January 26, 2009
Jan 1712:31 PM
1. (2x1y2)3 =
2. (a2b3c)4 =
3. (a1b2)2(a3b4)2 =
Simplify.
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Jan 1712:00 PM
With your group, solve these problems.Find a general rule for problems that look like these.
(32)4 =
(32)5 =
(32)6 =
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Power Raised to a Power
GENERAL RULE
(am)n = am n
TRY SOME
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Jan 1712:06 PM
Simplify these!
1. (2z3)4 =
2. (d3)5(d3)0 =
3. (x3)1(x2)5 =
4. (q10)10 =
5. (3b2)2(a2b4)3 =
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With your group, solve these problems.Find a general rule for problems that look like these.
3632
9594
=
=
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GENERAL RULE
aman = amn
TRY SOME
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Try these!
1.
2.
3.
4.
a14a6
=
=c1d3c5d4
=x2y1z4xy4z3
=m1n2m3n
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January 26, 2009
Jan 1712:51 PM
With your group, solve these problems.Find a general rule for problems that look like these.
45 =
3
45 =
2
45 =
4
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GENERAL RULE
ab
n ab
n
n=
TRY SOME
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January 26, 2009
Jan 1712:53 PM
Try some more!
1.
2.
3.
3x2
2=
=xy2
3
=ab
n
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January 26, 2009
Jan 1710:49 AM
Make sure you have written down all the properties of exponents.
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HOMEWORK
p. 368 #124