A number written in scientific notation has the form a\\times 10^{k}, where 1\\l

Question

A number written in scientific notation has the form a imes 10^{k}, where 1leq a < 10 and k is an integer, that is, k is one of ... -3, -2 , -1, 0, 1, 2, 3.... Determine the values of a and k when 299,790,000 is written in scientific notation. Enter a and k, separated by commas. Finally, consider the expression rac{(6.67 imes 10^{-11})(5.97 imes 10^{24})}{(6.38 imes 10^6)^2}. Determine the values of a and k when the value of this expression is written in scientific notation. Enter a and k, separated by commas.

Explanation / Answer

+ addition - subtraction * multiplication / division ^ power operator ' transpose A variable can be assigned using a formula that utilizes these operators and either numbers or previously defined variables. For example, since a was defined previously, the following expression is valid b = 2*a; To determine the value of a previously defined quantity, type the quantity by itself: b yields: b = 6 If your expression does not fit on one line, use an ellipsis (three or more periods at the end of the line) and continue on the next line. c = 1+2+3+... 5+6+7; There are several predefined variables which can be used at any time, in the same manner as user-defined variables: i sqrt(-1) j sqrt(-1) pi 3.1416... For example, y= 2*(1+4*j) yields: y = 2.0000 + 8.0000i

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