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Explanation:

First Sub - Question
Brief Explanations

Scientific notation is a way of expressing numbers that are too large or too small. One of the main advantages of using scientific notation is that it simplifies operations like multiplication, division, and also makes it easier to perform arithmetic operations (or just "calculate" in a general sense) with the numbers, along with comparing and working with them. So the word that fits here is related to arithmetic operations or calculation - like "calculate" or "compute" or "manipulate" (but "calculate" is a common choice here).

Step1: Recall the form of scientific notation

Scientific notation is in the form \(a\times10^{n}\), where \(1\leqslant|a|\lt10\) and \(n\) is an integer. For a number less than 1, we move the decimal point to the right until we get a number between 1 and 10, and the exponent \(n\) is negative, equal to the number of places we moved the decimal point.

Step2: Determine the exponent for 0.000001

For the number \(0.000001\), we move the decimal point 6 places to the right to get \(1\) (since \(0.000001=\frac{1}{1000000}\) and \(1000000 = 10^{6}\), so \(\frac{1}{10^{6}}=1\times10^{- 6}\)).

Answer:

calculate

Second Sub - Question