Answer:
[tex](2*10^6)*(4*10^7)=(2*4)*10^{6+7}=8*10^{13}[/tex]
Step-by-step explanation:
We first need to understand one concept, the multiplication of numbers in scientific notation. it is shown below:
[tex](a*10^x)*(b*10^y)=a*b*10^{x+y}[/tex]
This means, we have to multiply the constant and add the powers of 10 together.
Thus, to get 8 * 10^13, we gotta come up with any 2 constant that MULTIPLIED gives 8 and any 2 exponents that added gives us 13.
So, we can think of 2 constants as "2" & "4", because multiplied, gives 2 * 4 = 8
and
we can think of 2 exponents as 6 and 7, because added give 6+7=13
Thus, we can write:
[tex](2*10^6)*(4*10^7)=(2*4)*10^{6+7}=8*10^{13}[/tex]
