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abc is non-zero
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05 Jun 2024, 23:55
05 Jun 2024, 23:55
Expert Reply
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Question Stats:
68% (02:31) correct
31% (02:21) wrong based on 29 sessions
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abc is non-zero
\((ab)^6=b^{-4}c^{-8}\)
\((ab)^6=b^{-4}c^{-8}\)
Quantity A |
Quantity B |
\(a^9\) |
\((b^{-2}c^{-4}) ^3 \) |
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Shorter GRE - Preparing for the Quantitative Reasoning Measure
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Shorter GRE - Preparing for the Quantitative Reasoning Measure
Shorter GRE - Preparing for the Verbal Reasoning Measure
abc is non-zero
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02 Jul 2024, 22:52
02 Jul 2024, 22:52
1
Expert Reply
Tricky but in the end if you are comfortable to manipulate the exponents rules it is not so tough https://gre.myprepclub.com/forum/gre-ma ... 24948.html
\(a^6b^6=b^{-4}c^{-8}\)
\(a^6=\frac{b^{-4}c^{-8}}{b^6}\)
\(a^6=b^{-10}c^{-8}\)
Now compare with the two quantities and subtract
\(a^6=b^{-10}c^{-8}\)
\(a^9=b^{-6}c^{-12}\)
\(a^{-3}=b^{-4}b^4\)
However we do know only that aband c are different from zero
The values could be of any kind and we do not know really that much
\(a^6b^6=b^{-4}c^{-8}\)
\(a^6=\frac{b^{-4}c^{-8}}{b^6}\)
\(a^6=b^{-10}c^{-8}\)
Now compare with the two quantities and subtract
\(a^6=b^{-10}c^{-8}\)
\(a^9=b^{-6}c^{-12}\)
\(a^{-3}=b^{-4}b^4\)
However we do know only that aband c are different from zero
The values could be of any kind and we do not know really that much
