Identify the missing numbers below to show the result of multiplying the numbers. (3.5 × 1016)(2.2 × 1010) = a × 10b

In order to find the value of "a" and "b", first of all perform the multiplication in the parenthesis. 
Thus

(3.5x1016) = 3556
and 
(2.2x1010) = 2222

As per question;
(3556)x(2222) = 10 axb
By dividing both sides by "10"
we get
(3556)x(222.2) = axb
or 
(355.6)x(2222) = axb
by comparing both sides of the equation, 
we get that a = 3556  and b = 222.2
or
a = 355.6 and b = 2222