Question

need help with this question

Answer 1

assuming you're not suppose to use a calculator to solve this,

$\frac{4.8 \times 10^8}{1.2 \times 10^4} \times (2.2 \times 10^{-6})$

now, start by only looking at and multiplying/dividing the "10s"

$\frac{10^8}{10^4} \times 10^{-6}$
$10^4 \times 10^{-6}$
$10^{-2}$

so when you multiply/divide the 10s, you get 10^-2

now look at the other numbers (4.8, 1.2,2.2)

$\frac{4.8}{1.2} \times 2.2$
$4 \times 2.2$
$8.8$

multiply the two answers
$8.8 \times 10^{-2}$


if you're asking why you can solve it this way, its because you multiplication is commutative/associative (you can multiply numbers in any order and group them however you want and still get the same answer)