Fractional exponents follow the same rules as integral exponents. Integral exponents are numbers raised to an integer power.
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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..
When multiplying numbers with exponents, you add the exponents.
nothing, keep the exponents the same, remember you can only add or subtract when the exponents are the same
The answer depends on what you wish to achieve.
If you are adding or subtracting two numbers in scientific notation the exponents must be the same before adding the coefficients. This is similar to 'like terms' in algebraic expressions. You can't add 5x3 and 3x2 because the exponents are not the same.