Nth Roots And Rational Exponents (Math Worksheet) Page 2
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1
2
3
4Examples
th
n
a
Find the indicated real
root(s) of
.
n
a
n
a
n
a
1)
= 2,
= 49
2)
= 3,
= -125
3)
= 4,
= 16
Example to Try
th
n
a
Find the indicated real
root(s) of
.
1) n = 3, a = 27
2) n = 5, a = 3125
3) n = 4, a = -1296
Rational Exponents
So far, we have examined radicals with nth roots that can be rewritten with rational
⁄
exponents in the form of
. What if we had to evaluate
?
th
⁄
n
a
m
Let
be an
root of
, and let
be a positive integer.
⁄
⁄
√
⁄
⁄
⁄
√
Example
⁄
1)
a. use radical notation:
b. use rational exponent notation:
⁄
2)
a. use radical notation:
b. use rational exponent notation:
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