Rational Exponents Investigation

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Rational Exponents Investigation
1
In this investigation, you will discover the meaning of 2 2 .
1
Use your calculator to get an approximation of 2 2 - round to the nearest
100th .
1
2 2  _______________
I. Finding Patterns
Fill in the following charts & extend the patterns that you see to determine
1
what x 2 means. Do not use decimals.
28 =
58 =
98 =
108 =
24 =
54 =
94 =
104 =
22 =
52 =
92 =
102 =
21 =
51 =
91 =
101 =
2
5
9
10
=
=
=
=
1
From your observations above, explain what x 2 means.
________________________________________________________________________
________________________________________________________________________
1
Take a guess what x 3 means. Verify this on your calculator by looking at
the following:
1
1
a) 8 3 = ___________
c) 1000
1
3
= ___________
b)
27 3 = ___________
d) 125
1
3
= ___________
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