Answer:
4.49352×10¹²
Explanation:
You want the product of 5.688×10⁹ and 7.9×10² expressed in scientific notation.
Calculator
Generally, we use a calculator to simplify multiplication of such numbers. We can ask that same calculator to display the results in scientific notation. The number of significant digits in the product will be the sum of the numbers of significant digits in the given coefficients: 4 + 2 = 6.
5.688×10⁹ · 7.9×10² = 4.49352×10¹²
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Additional comments
A spreadsheet also gives you the option of displaying the number in scientific notation.
Note that many calculators use an "E" notation for entering the exponent of numbers in scientific notation. The key used for entering the exponent may be labeled EEX or EE or EXP. Some also use that same E notation for displaying the result.
The number of significant digits in the product that are of interest depends on the application. We have given the result of straight multiplication of these numbers. In a measurement or physics application, the result should be rounded to 2 significant digits, the number of digits in the least-precise factor. For general engineering application, you may want to round to about 4 significant digits, as more precision than that is often unneeded. If this is a value that will be added or subtracted with another, you probably want to keep the full precision available.
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