scientific notation is
n10^x
where 1≤n<10 and x is a whole power
so remember some simple rules
(ab)(cd)=(a)(b)(c)(d)=(ac)(bd)
\(\frac{ab}{cd}=( \frac{a}{c})( \frac{b}{d})\)
also properties of exponents
\((x^m)(x^n)=x^{m+n}\)
and
\(\frac{x^m}{x^n}=x^{m-n}\)
why is this important?
because
lets say
810^9 times 410^2
this means
(8)(10^9)(4)(10^2)=(84)(10^910^2)=3210^{9+2}=3210^11, but wait, it has to be less than 10
32=3.210^1
3210^11=3.210^110^11=3.210^12
for division
\(\frac{3*10^8}{2*10^3}=( \frac{3}{2})( \frac{10^8}{10^3})\)=1.5*10^5
the only way to add or subtract scientifict notation is when the x on the 10^x are the same
otherwise, yo have to expand the expressions
