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03 Jun 2020, 09:50
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
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Question Stats:
64% (02:10) correct
36%
(02:27)
wrong
based on 257
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If the operation a* is defined by \(a* = \frac{1}{\sqrt{a^3}}\) what is the value of \((2^{-\frac{1}{4*}})*\)
A. \(-2^{-\frac{1}{12}}\)
B. \(-2^{12}\)
C. \(2^{-12}\)
D. \(2^{\frac{3}{16}}\)
E. \(2^{12}\)
Are You Up For the Challenge: 700 Level Questions
A. \(-2^{-\frac{1}{12}}\)
B. \(-2^{12}\)
C. \(2^{-12}\)
D. \(2^{\frac{3}{16}}\)
E. \(2^{12}\)
Are You Up For the Challenge: 700 Level Questions
03 Jun 2020, 10:02
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IMO E
Given a* = a∗=1/sqrt (a^3) = a ^ (-3/2). --eq 1
4* = 4^(-3/2) = 2^ (2* {-3/2}) = 2^(-3) = 1/8
Putting this value we get: 2 ^ (-1 * 1/8 ) *= 2 ^(-8) *
From eqn 1: 2 ^ (-8 * -3/2) = 2^12
Given a* = a∗=1/sqrt (a^3) = a ^ (-3/2). --eq 1
4* = 4^(-3/2) = 2^ (2* {-3/2}) = 2^(-3) = 1/8
Putting this value we get: 2 ^ (-1 * 1/8 ) *= 2 ^(-8) *
From eqn 1: 2 ^ (-8 * -3/2) = 2^12
KhulanE
05 Jun 2020, 18:15
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4*=1/sqrt(4^3)=1/sqrt(2^(2/3))=1/(2^3)=1/8
-1/4*=-1/(1/8)=-8
(2^(-1/4*))*=(2^-8)*=1/sqrt((2^-8)^3)=1/sqrt(2^-24)=1/2^-12=2^12
E is the answer
-1/4*=-1/(1/8)=-8
(2^(-1/4*))*=(2^-8)*=1/sqrt((2^-8)^3)=1/sqrt(2^-24)=1/2^-12=2^12
E is the answer
