Here's the original question (with solution):[email protected] wrote: Here is one question that I could have done the long way and found out, but I ended up taking too long and guessed.
"Which of the following is equal to the value of 2^5 +2^5 + 3^5 + 3^5 + 3^5"
What we really have here is an algebra question that requires us to combine LIKE TERMS.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
First, notice that K + K = 2K
Using the same logic, 2^5 + 2^5 = 2(2^5) = (2^1)(2^5) = 2^6
Similarly, notice that M + M + M = 3M
Using the same logic, 3^5 + 3^5 + 3^5 = 3(3^5) = (3^1)(3^5) = 3^6
So, 2^5 + 2^5 + 3^5 + 3^5 + 3^5 = 2^6 + 3^6
Answer: C
Cheers,
Brent
