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

Question

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.  4^5 + 9^5

KarishmaB · Accepted Answer

(2^5+2^5) + (3^5+3^5+3^5)  
 = 2*2^5 + 3*3^5  (You have two 2^5 so you club them as 2*2^5. Similarly for 3)
 = 2^6 + 3^6

jimmylow · Answer

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

Ans: C

Bunuel · Answer

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pacifist85 · Answer

I did it using the answer choices.

After reaching this point:
2^5 + 2^5 + 3^5 + 3^5 + 3^5
= 2 (2^5) + 3 (3^5)

I just took the answer choices from E upwards and rejected them.

E.g E. 4^5 + 9^5, has many more numbers that what we want, because 4^5 is equal to 2^10. No need to check 9^5.
D similarly has more numbers than we want, D. 2^7 + 3^8, since we have 2*2*2*2*2*2*2, so this is 2*2^6.

ANS C , gives as the number we are looking for.

daviddaviddavid · Answer

2^5 + 2^5 + 3^5 + 3^5 + 3^5

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

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

2*2*2*2*2 * 2  +  3*3*3*3*3 * 3

= 2^6 + 3^6

BrentGMATPrepNow · Answer

Given:  2^5 + 2^5  +  3^5 + 3^5 + 3^5

Notice that this expression has the same STRUCTURE as  x + x  +  y + y + y 
Simplifying, we get:  x + x  +  y + y + y  =  2x  +  3y

LIKEWISE,  2^5 + 2^5  +  3^5 + 3^5 + 3^5  =  2(2^5)  +  3(3^5) 
=  (2^1)(2^5)  +  (3^1)(3^5) 
=  2^6  +  3^6

Answer:  C

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Kinshook · Answer

2*2^5 + 3*3^5 = 2^6 + 3^6

IMO C

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Anurag06 · Answer

Hi

I was just wondering when I made the equation 2^5 (1+1) + 3^5 (1+1+1) ------> 2^5 (2) + 3^5 (3) felt that it should be 4^5 + 9^5 with direct multiplication irrespective of powers. Can you help me understand why it won't be that please?

kiekiis · Answer

2^5 + 2^5 + 3^5 + 3^5 + 3^5

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

=2^5 (1+1) + 3^5 (1+1+1)

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

=2^6 + 3^6

ScottTargetTestPrep · Answer

Simplifying, we have:

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

2^5 x 2^1 + 3^5 + 3^1

2^6 + 3^6

Answer: C

hemantbafna · Answer

2^5=32 
32+32=64=2^6

3^5=243
243+243+243=729=3^6

Therefore 2^6+3^6
 C

bumpbot · Answer

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

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

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