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25 Feb 2016, 18:13
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
94% (01:17) correct
6%
(01:59)
wrong
based on 492
sessions
History
Date
Time
Result
Not Attempted Yet
\(\frac{30^{10}}{150^5}=?\)
A. 6^5
B. 5^6
C. 3^6
D. 6^3
E. 15^3
* A solution will be posted in two days.
A. 6^5
B. 5^6
C. 3^6
D. 6^3
E. 15^3
* A solution will be posted in two days.
Updated on: 27 Jan 2021, 08:27
Originally posted by BrentGMATPrepNow on 25 Feb 2016, 20:13.
Last edited by BrentGMATPrepNow on 27 Jan 2021, 08:27, edited 2 times in total.
Last edited by BrentGMATPrepNow on 27 Jan 2021, 08:27, edited 2 times in total.
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Quote:
Useful rule: \((ab)^n = (a^n)(b^n)\)
So, \(\frac{30^{10}}{150^5} = \frac{30^{10}}{(5 \times 30)^5}\)
\(= \frac{30^{10}}{5^5 \times 30^5}\)
\(= \frac{30^5}{5^5}\)
\(= \frac{(6 \times 5)^5}{5^5}\)
\(= \frac{6^5 \times 5^5}{5^5}\)
\(= 6^5\)
Answer: A
Cheers,
Brent
General Discussion
25 Feb 2016, 19:11
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MathRevolution
Whenever we see such Qs, get the Q to its basic terms..
\(\frac{30^{10}}{150^5}=\frac{(2*3*5)^{10}}{(2*3*5*5)^5}\)..
\(\frac{(2^{10}*3^{10}*5^{10})}{(2^5*3^5*5^5*5^5)}=2^5*3^5=6^5\)
ans A
