Verified Answer :

\((4.0 \times 10^3)(2.8 \times 10^{-4})\implies 4.0\times 2.8\times 10^3\times 10^{-4} \\ \quad \\ 11.2\times 10^{3-4}\impliedby \textit{same base, different exponent} \\ \quad \\ 11.2\times 10^{-1}\)

apologiabiology

scientific nottaion is
(number that is less than 10 and more than or equalt to 1) times 10^x

so

remmeber
(ab)(cd)=(a)(b)(c)(d)=(ac)(bd)
so you can just move dem

also
(x^m)(x^n)=x^(m+n)

so

(410^3)(2.810^-4)=
group the exponent things together
(42.8)(10^310^-4)=
(11.2)(10^-1)=
don't forget that the first number has to be less than 10
11.2>10, so we have to factor out the 10
(1.1210^1)(10^-1)=
(1.12)(10^110^-1)=
1.1210^0

answer is 1.1210^0
(first number has to be less than 10)

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