Answer:
5^(6-3), 5^6/5^3, 5^3 or the 1st and 3rd on the top row and the 2nd on the bottom row
Explanation:
So, how exponent rules work is if x to the power of any number is multiplied by x to the power of any number, you add the exponents. For example, 5^6 multiplied by 5^-3 is 6-3 which is 3, so the answer is 5^3. If you are dividing, lets say you have 5^6/5^3, you subtract. It would be 6-3, and the answer would be 5^3. When you have x to the power of a number, and you have that in parenthesis, and there is an exponent on the outside, only then do you multiply the exponents, and you cannot multiply exponents if there are more than one term in the parenthesis. For example, (x^5)^5 = x^25 because 5x5 = 25. But, if you have (x-5)^2 you cannot multiply the 2 out on both terms, you have to instead use FOIL. Using these rules, you can find that each of the answers above is equal to the answer of the first equation, 5^3.
5^(6) x 5^(-3) = 5^(6-3) = 5^(3)
5^6/5^3 = 5^(6-3) = 5^(3)
5^3 = 5^3