BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Quant Question

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Newbie | Next Rank: 10 Posts
Posts: 3
Joined: Sun Mar 15, 2009 5:47 pm

Quant Question

by XeroShogun » Tue Oct 20, 2009 12:47 pm
I couldn't find this answered anywhere

Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 + 3^5?

A. 5^6

B. 13^5

C. 2^6 + 3^6

D. 2^7 + 3^8

E. 4^3 + 9^5

Answer is C. I don't know how to figure it out though.
Top
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 177
Joined: Thu Aug 14, 2008 11:59 am
Thanked: 25 times

by mp2437 » Tue Oct 20, 2009 1:49 pm
2^5 + 2^5 is equivalent to 2 * (2^5) = 2^(1+5) = 2^6.

Same thing with 3^5 + 3^5 +3^5 = 3*(3^5)= 3^6, so the sum of the entire term simplifies to 2^6 + 3^6
Top
Master | Next Rank: 500 Posts
Posts: 392
Joined: Thu Jan 15, 2009 12:52 pm
Location: New Jersey
Thanked: 76 times

by truplayer256 » Tue Oct 20, 2009 1:55 pm
We know x+x is equal to 2*x. Similary, 2^5+2^5 is equal to 2*2^5 and 3^5+3^5+3^5 is equal to 3*3^5. By law of exponents, 2*2^5 equals 2^(5+1)=2^6 and 3*3^5=3^(5+1)=3^6. So your answer is 2^6+3^6.
Top
Post new topic Post Reply
• Page 1 of 1