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Math Expert V
Joined: 02 Sep 2009
Posts: 58320

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Difficulty:   5% (low)

Question Stats: 81% (00:23) correct 19% (00:29) wrong based on 166 sessions

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$$\frac{15^{11} - 15^{10}}{14} = ?$$

A. $$\frac{1}{14}$$
B. $$\frac{15}{14}$$
C. $$\frac{15^{10}}{14}$$
D. $$15^{10}$$
E. 1

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Math Expert V
Joined: 02 Sep 2009
Posts: 58320

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Official Solution:

$$\frac{15^{11} - 15^{10}}{14} = ?$$

A. $$\frac{1}{14}$$
B. $$\frac{15}{14}$$
C. $$\frac{15^{10}}{14}$$
D. $$15^{10}$$
E. 1

Factor out $$15^{10}$$: $$15^{10} * \frac{(15 - 1)}{14} = 15^{10}$$.

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Intern  Joined: 09 Nov 2018
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Why can't I do: [(14+1)^11 - (14+1)^10]/14? Which is 1
Math Expert V
Joined: 02 Sep 2009
Posts: 58320

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asthakalbag07 wrote:
Why can't I do: [(14+1)^11 - (14+1)^10]/14? Which is 1

How did you get that this expression equals to 1? It's not.
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Manager  S
Joined: 09 Jun 2018
Posts: 89
GMAT 1: 610 Q42 V33 GMAT 2: 620 Q40 V35 GMAT 3: 660 Q41 V40 GPA: 3.32

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1
$$\frac{15^1^1 - 15^1^0}{14}$$

$$\frac{15^1^0(15-1)}{14}$$

$$\frac{15^1^0(14)}{14}$$

$$15^1^0$$

The correct answer is answer choice D.

Please give kudos if this was helpful in any way! Re: M06-01   [#permalink] 25 Sep 2019, 10:34
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