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555-605 (Medium)|   Algebra|   Exponents|      
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Bunuel
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Which of the following is equivalent to 5^5(6^4 - 3^4)/5 ? 10 Aug 2018, 03:52
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25% (medium)

Question Stats:

76% (01:29) correct 24% (01:57) wrong based on 362 sessions

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Which of the following is equivalent to \(\frac{5^5(6^4 - 3^4)}{5}\) ?


A. 15^5
B. 15^4
C. 10^5
D. 10^4
E. 10^4−1
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A
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PKN
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Which of the following is equivalent to 5^5(6^4 - 3^4)/5 ? 10 Aug 2018, 04:06
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Bunuel
Which of the following is equivalent to \(\frac{5^5(6^4 - 3^4)}{5}\) ?


A. 15^5
B. 15^4
C. 10^5
D. 10^4
E. 10^4−1
Show more

\(\frac{5^5(6^4 - 3^4)}{5}\)
Or, \(5^{5-1}((6^2)^2 - (3^2)^2)\)
=\(5^4(6^2+3^2)(6^2-3^2)\)
=\(5^4*45*27\)
=\(5^4*5*3^2*3^3\)
=\(5^5*3^5\)
=\((5*3)^5\)
=\(15^5\)

Ans. (A)
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Which of the following is equivalent to 5^5(6^4 - 3^4)/5 ? 10 Aug 2018, 04:06
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Bunuel
Which of the following is equivalent to \(\frac{5^5(6^4 - 3^4)}{5}\) ?


A. 15^5
B. 15^4
C. 10^5
D. 10^4
E. 10^4−1
Show more


Given

\(\frac{5^5(6^4 - 3^4)}{5}\)

= \((5)^4 (6)^4 - (5)^4 (3)^4\)

=\((30)^4 - (15)^4\)

= \(15^4 2^4 - 15^4\)

= \(15^4 ( 2^4 - 1)\)

= \(15^5\)

The best answer is A.
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Which of the following is equivalent to 5^5(6^4 - 3^4)/5 ? 10 Aug 2018, 04:30
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Bunuel
Which of the following is equivalent to \(\frac{5^5(6^4 - 3^4)}{5}\) ?
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5^5 * ( 6^4 - 3^4 ) / 5
5^4 * ( ( 2^4*3^4 ) - 3^4 )
5^4 * 3^4 ( 2^4 - 1 )
5^4 * 3^4 * 15
5^4 * 3^4 * 5 * 3
5^5 * 3^5
15^5

Hence, A.
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Which of the following is equivalent to 5^5(6^4 - 3^4)/5 ? 10 Aug 2018, 08:38
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Bunuel
Which of the following is equivalent to \(\frac{5^5(6^4 - 3^4)}{5}\) ?


A. 15^5
B. 15^4
C. 10^5
D. 10^4
E. 10^4−1
Show more
\(\frac{5^5(6^4 - 3^4)}{5}\)

= \(5^4(6^4 - 3^4)\)

= \(5^4(2^43^4 - 3^4)\)

= \(5^43^4(2^4 - 1)\)

= \(15^4*15\)

= \(15^5\), Answer must be (A)
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Which of the following is equivalent to 5^5(6^4 - 3^4)/5 ? 11 Feb 2019, 18:05
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selim
Bunuel
Which of the following is equivalent to \(\frac{5^5(6^4 - 3^4)}{5}\) ?


A. 15^5
B. 15^4
C. 10^5
D. 10^4
E. 10^4−1


Given

\(\frac{5^5(6^4 - 3^4)}{5}\)

= \((5)^4 (6)^4 - (5)^4 (3)^4\)

=\((30)^4 - (15)^4\)

= \(15^4 2^4 - 15^4\)

= \(15^4 ( 2^4 - 1)\)

= \(15^5\)

The best answer is A.
Show more

Hello selim !

This was also my approach but I thought I was wrong and lost time trying to get the answer from a different method.

Is it okay if I reach just half of the answer like this example?

Kind regards!
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KSBGC
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Which of the following is equivalent to 5^5(6^4 - 3^4)/5 ? 02 Mar 2019, 23:20
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jfranciscocuencag
selim
Bunuel
Which of the following is equivalent to \(\frac{5^5(6^4 - 3^4)}{5}\) ?


A. 15^5
B. 15^4
C. 10^5
D. 10^4
E. 10^4−1


Given

\(\frac{5^5(6^4 - 3^4)}{5}\)

= \((5)^4 (6)^4 - (5)^4 (3)^4\)

=\((30)^4 - (15)^4\)

= \(15^4 2^4 - 15^4\)

= \(15^4 ( 2^4 - 1)\)

= \(15^5\)

The best answer is A.

Hello selim !

This was also my approach but I thought I was wrong and lost time trying to get the answer from a different method.

Is it okay if I reach just half of the answer like this example?

Kind regards!
Show more


Half is not allowed . U know that GMAT sometimes rearrange the answer options. Thus, practice hard to get the exact answer. try to scan answer choices first .

Happy preparing.
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Which of the following is equivalent to 5^5(6^4 - 3^4)/5 ? 04 Sep 2024, 05:33
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