Well we need to follow PEMDAS. Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. The "X" is in the Exponents place. Therefore we would take 10 X 5.5 first. Which equals 55. Then you have to take it times 1. So the answer to the first one is 55. Then with the next one, you do the same steps, except at the end, your exponent is 2. So you would take 55 times 55 and get 3,025. So the answer to your second one is 3,025. Hope this is correct and hope this helps!
-Twix