Yes its the same just 2 different ways of saying it!
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They mean the same thing. Square meters is the same as meters squared.
First keep in mind that 20 square kilometers is not the same as 20 kilometers squared. Conversion units will have to be squared as well. Second, remember that there are exactly 2.54 centimeters in an inch, or 30.48 cm/ft. Third, to convert from kilometers to centimeters, just multiply by a hundred thousand, or 105. Put it all together and you get 20 x (105 / 30.48)2 = 215,278,208.334... square feet (or about 7.722 square miles).
Yes
you cannot go from inches to centimeters squared. one inch = 2.54 cm you can go from inches squared to centimeters squared; in that case one inch square = (2.54 squared) cm = 6.45 cm squared
The square of 4 is the same as 4 squared, which is 16.