Carcass wrote:
Quantity A |
Quantity B |
\(\frac{2^{20}}{3^{15}}\) |
\(\frac{16^5}{27^5 }\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITIONGRE - Math Book Power of a Power law: \((b^x)^y=b^{xy}\)Given:
Quantity A: \(\frac{2^{20}}{3^{15}}\)
Quantity B: \(\frac{16^5}{27^5 }\)
Rewrite \(16\) as \(2^4\) and rewrite \(27\) as \(3^3\) to get:
Quantity A: \(\frac{2^{20}}{3^{15}}\)
Quantity B: \(\frac{(2^4)^5}{(3^3)^5 }\)
Apply the Power of a Power law to get:
Quantity A: \(\frac{2^{20}}{3^{15}}\)
Quantity B: \(\frac{2^{20}}{3^{15}}\)
Answer: C
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Brent Hanneson - founder of Greenlight Test Prep