Understanding Rational Exponents and Radicals
Algebra 1 · Flashcards
ALGEBRA 1 · FLASHCARDS
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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
)?
QUESTION
What is the value of
(
9
3
2
)
2
3
\left(9^{\frac{3}{2}}\right)^{\frac{2}{3}}
(
9
2
3
)
3
2
?
QUESTION
What is the value of
(
1
27
)
−
1
3
\left(\frac{1}{27}\right)^{-\frac{1}{3}}
(
27
1
)
−
3
1
?
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ANSWER
3
3
3
.
(
1
27
)
−
1
3
=
27
1
3
=
3
(\frac{1}{27})^{-\frac{1}{3}} = 27^{\frac{1}{3}} = 3
(
27
1
)
−
3
1
=
2
7
3
1
=
3
.
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