Rewriting Expressions with Radicals, Rational Exponents
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
What is
x
4
3
x
3
\frac{\sqrt[3]{x^4}}{\sqrt[3]{x}}
3
x
3
x
4
simplified using rational exponents?
QUESTION
What is
27
1
3
27^{\frac{1}{3}}
2
7
3
1
rewritten as a radical and simplified?
QUESTION
What is
a
3
⋅
a
6
\sqrt[3]{a}\cdot \sqrt[6]{a}
3
a
⋅
6
a
rewritten as a single rational exponent?
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ANSWER
a
1
2
a^{\frac{1}{2}}
a
2
1
. Add exponents:
1
3
+
1
6
=
1
2
\frac{1}{3} + \frac{1}{6} = \frac{1}{2}
3
1
+
6
1
=
2
1
.
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