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# Help me to understand why this value converts to that value

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Intern
Joined: 21 Jun 2012
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Help me to understand why this value converts to that value [#permalink]  06 Aug 2013, 09:57
I am struggling using the Mahattan Quant guides to understand an exponent question.

Why does 6^60+6^60+6^60=6^61?
At first I thought 6^180 but I'm not multiplying so that rule doesn't apply.
Then I thought 6^60(1+1+1) but that doesn't make sense.
So what rule am I missing that makes 6^60+6^60+6^60=6^61?

Thanks
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Re: Help me to understand why this value converts to that value [#permalink]  06 Aug 2013, 21:34
Expert's post
philz1982 wrote:
I am struggling using the Mahattan Quant guides to understand an exponent question.

Why does 6^60+6^60+6^60=6^61?
At first I thought 6^180 but I'm not multiplying so that rule doesn't apply.
Then I thought 6^60(1+1+1) but that doesn't make sense.
So what rule am I missing that makes 6^60+6^60+6^60=6^61?

Thanks

There is something missing here.

"Then I thought 6^60(1+1+1) " is correct.

$$6^{60}+6^{60}+6^{60}= 6^{60} (1 + 1 + 1) = 3*6^{60}$$
whereas
$$6^{61} = 6*6^{60}$$
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Intern
Joined: 21 Jun 2012
Posts: 18
Location: United States (TX)
GPA: 3.64
WE: Business Development (Energy and Utilities)
Followers: 0

Kudos [?]: 5 [0], given: 0

Re: Help me to understand why this value converts to that value [#permalink]  07 Aug 2013, 03:25
VeritasPrepKarishma wrote:
philz1982 wrote:
I am struggling using the Mahattan Quant guides to understand an exponent question.

Why does 6^60+6^60+6^60=6^61?
At first I thought 6^180 but I'm not multiplying so that rule doesn't apply.
Then I thought 6^60(1+1+1) but that doesn't make sense.
So what rule am I missing that makes 6^60+6^60+6^60=6^61?

Thanks

There is something missing here.

"Then I thought 6^60(1+1+1) " is correct.

$$6^{60}+6^{60}+6^{60}= 6^{60} (1 + 1 + 1) = 3*6^{60}$$
whereas
$$6^{61} = 6*6^{60}$$

Ya, I improperly modified a question while trying to keep from plagiarizing the original question.

So then what your saying is if I have. 6^60+6^60+6^60+6^60+6^60+6^60 I would factor out the 6^60 and that would give me 6^60 *(1+1+1+1+1+1 or 6) thus I would add another 6.

Which would be 6^61 correct?
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Re: Help me to understand why this value converts to that value [#permalink]  10 Aug 2013, 01:22
philz1982 wrote:
I am struggling using the Mahattan Quant guides to understand an exponent question.

Why does 6^60+6^60+6^60=6^61?
At first I thought 6^180 but I'm not multiplying so that rule doesn't apply.
Then I thought 6^60(1+1+1) but that doesn't make sense.
So what rule am I missing that makes 6^60+6^60+6^60=6^61?

Thanks

............
This can't be the question.. something is missing
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Re: Help me to understand why this value converts to that value   [#permalink] 10 Aug 2013, 01:22
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