Rational Exponents - Math Worksheet Page 2

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1
th
Conclusion: The n
root of a number is the same as exponent
.
n
1
n
a
a
n
Radical Form 
 Exponential Form
5. Evaluate each of the following.
1
2
3
4
5
4
4
4
4
4
2
2
2
2
2
a)
= _______
b)
= _______
c)
= _______
d)
= _______
e)
= _______
What pattern do you notice in the answers? _______________________________________
Rewrite each of the questions above (#5) as a radical…
 
2
3
4
5
1
1
4
4
2
4
4
4
4
2
2
2
2
a)
b)
= _______
c)
= _______
d)
= _______
e)
= _______
6. Evaluate each of the following.
1
2
4
5
8
8
8
8
3
3
3
3
a)
= _______
b)
= _______ c)
= _______
d)
= _______
What pattern do you notice in the answers? _______________________________________
Rewrite each of the questions above (#6) as a radical…
 
1
2
4
5
1
8
3
8
8
8
8
3
3
3
3
a)
b)
= _______ c)
= _______
d)
= _______
 
m
m
a
n
a
n
Conclusion:
Examples: Write in radical form then evaluate without a calculator.
2
5
27
16
3
4
a)
b)

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