This has to be simple but I'm not understanding the process. Any tips would be great!
2^5 +2^5 +3^5 +3^5 +3^5
The official answer is 2^6 + 3^6
2^5 +2^5 +3^5 +3^5 +3^5
The official answer is 2^6 + 3^6
.. the theory first ... x^a*x^b = x^(a+b) ..mindruna wrote:This has to be simple but I'm not understanding the process. Any tips would be great!
2^5 +2^5 +3^5 +3^5 +3^5
The official answer is 2^6 + 3^6
.. now take a look at the expression .. 2^5 + 2^5 + 3^5 + 3^5 + 3^5 .. it can be changed to .. 2^5(1+1)+3^5(1+1+1) .. that is taking 2^5 and 3^5 common ..
.. so we have 2^5*(2) + 3^5*(3) = which according to the rule of exponents that i mentioned at the start is equal to 2^6 + 3^6 ..
