Carcass wrote:
If \(n = (-72)^{(\frac{1}{3})}\) then the value of n is
A. -9 < n < -8
B. -8 < n < -7
C. -7 < n < -6
D. -6 < n < -5
E. -5 < n < -4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITIONGRE - Math BookFind some "nice" third powers (aka cube roots)
\((-1)^{(\frac{1}{3})} = -1\)
\((-8)^{(\frac{1}{3})} = -2\)
\((-27)^{(\frac{1}{3})} = -3\)
\((-64)^{(\frac{1}{3})} = -4\)
\((-125)^{(\frac{1}{3})} = -5\)
Since -72 is BETWEEN -64 and -125, \((-72)^{(\frac{1}{3})}\) will be BETWEEN -4 and -5
Answer: E
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Brent Hanneson - founder of Greenlight Test Prep