Understanding Rational Exponents and Radicals
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
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QUESTION
What is the product rule for rational exponents (assume
a
>
0
a>0
a
>
0
)?
QUESTION
What is the value of
a
m
n
a^{\frac{m}{n}}
a
n
m
when
a
=
0
a=0
a
=
0
and
m
>
0
m>0
m
>
0
(integer
n
≥
2
n\ge 2
n
≥
2
)?
QUESTION
What equivalent form of
a
m
n
a^{\frac{m}{n}}
a
n
m
uses a power of a root (assume
a
>
0
a>0
a
>
0
)?
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ANSWER
a
m
n
=
(
a
n
)
m
a^{\frac{m}{n}} = (\sqrt[n]{a})^m
a
n
m
=
(
n
a
)
m
. Equivalent form: first take the
n
n
n
th root, then raise to power
m
m
m
.
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