"Adding exponents has some rules involved. It can be challenging to solve the answers however as long as you follow the guidelines and rules you can solve any problem. In order to add exponents they must have like terms. One example of a problem is 2^3 + 2^2= 2^5 (wrong answer) The solution is not correct because if the bases are the same, you just can not add the exponents. To solve this problem
. you must take the first part 2^3= (2 x 2 x 2) =8 and the second part (2 x 2 x 2 x 2 x 2)= 32, then you take 8+32= 40 ( 40, is the correct solution) For example, when multiplying numbers in exponent notation with the same base, we can add the exponents. For example to solve: b^2 x b^3= (b x b) x (b x b x b) = b^2+3=b^5This is considered to be the the first law of exponents. However keep in mind that the first law of exponents does not apply to addition of numbers in exponent notation."