If you mean scientific notation, you must first convert the numbers so they have the same exponent. Example: 2 x 107 + 5 x 106 = 20 x 106 + 5 x 106 = 25 x 106. (You can also convert both numbers to 107 in this case).
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you do not do anything when you add numbers with exponents. you just figure out the answer. it is only if you multiply numbers with exponents, where you add the exponents..
Fractional exponents follow the same rules as integral exponents. Integral exponents are numbers raised to an integer power.
Same.
This is effectively the same as lining up the decimal points when adding or subtracting ordinary decimal fractions.
It is linear because you're just adding numbers. There are no exponents.