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National and Regional Contests
USA Contests
USA - Middle School Tournaments
Math Invitational for Girls
2022 MIG
4
4
Part of
2022 MIG
Problems
(2)
2022 A Individual #4
Source:
4/28/2022
Which of the following answer choices is equivalent to
a
3
b
2
c
\sqrt{a^3b^2c}
a
3
b
2
c
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<span class='latex-bold'>(A) </span>ab\sqrt{ac}\qquad<span class='latex-bold'>(B) </span>bc\sqrt{ac}\qquad<span class='latex-bold'>(C) </span>b\sqrt{ac}\qquad<span class='latex-bold'>(D) </span>abc\sqrt{ab}\qquad<span class='latex-bold'>(E) </span>a\sqrt{bc}
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2022 A Individual
2022 B Individual #4
Source:
4/30/2022
There exists a real number
n
n
n
such that
4
n
=
5
4^n=5
4
n
=
5
. What is the value of
8
n
8^n
8
n
?
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10
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5
<span class='latex-bold'>(A) </span>5\sqrt{5}\qquad<span class='latex-bold'>(B) </span>10\qquad<span class='latex-bold'>(C) </span>25\qquad<span class='latex-bold'>(D) </span>50\qquad<span class='latex-bold'>(E) </span>25\sqrt{5}
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5
2022 B Individual