exponent addition

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tj123: Senior | Next Rank: 100 Posts; Posts: 85; Joined: Mon Dec 08, 2008 12:09 am

by tj123 » Mon Dec 08, 2008 12:16 am

What does 2^5 + 2^5 + 3^5 + 3^5 + 3^5 =?

I chose 4^5 + 9^5

but the answer is 2^6 + 3^6

Please explain how you get the answer[/quote]

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Source: Beat The GMAT — Problem Solving | Mon Dec 08, 2008 12:16 am

Zipper: Master | Next Rank: 500 Posts; Posts: 119; Joined: Sun Nov 30, 2008 2:47 am; Thanked: 11 times

by Zipper » Mon Dec 08, 2008 1:13 am

2(2^5)+3(3^5)

easier to understand now?

2x2^5=2^6
3x3^5=3^6

All you have to do is group them.

Also take a quick look at this question I think u will understand it even further:

https://www.beatthegmat.com/roots-t22564.html

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vivek.kapoor83: Legendary Member; Posts: 833; Joined: Mon Aug 04, 2008 1:56 am; Thanked: 13 times

by vivek.kapoor83 » Mon Dec 08, 2008 1:44 am

Tj ,
it is as simple as ...if u calculate....2^5 =32 and if u add 2^5 = 32
ans is 64...

now 4^5 is not equal to 64..So wrong

and i would like to mention 1 property which exists in the case of "2" only
= 2^2+2^2 =2^3
2^3+2^3 = 2^4
2^4+2^4 = 2^5.....
always rem......

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hwiya320: Senior | Next Rank: 100 Posts; Posts: 93; Joined: Tue Sep 02, 2008 5:34 pm; Thanked: 7 times

by hwiya320 » Mon Dec 08, 2008 5:33 am

Zipper wrote:2(2^5)+3(3^5)

easier to understand now?

2x2^5=2^6
3x3^5=3^6

All you have to do is group them.

Also take a quick look at this question I think u will understand it even further:

https://www.beatthegmat.com/roots-t22564.html

I just thanked you.. I can SOOO give you a huge hug right now. Missed the simple concept.

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shafeek: Junior | Next Rank: 30 Posts; Posts: 19; Joined: Wed Dec 10, 2008 6:54 pm

by shafeek » Thu Dec 11, 2008 4:32 pm

Easier way

take 2^5(1+1) + 3^5(1+1+1)
2^6+3^6

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