Answer
$200,000$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{0.05\times1600}{0.0004}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\dfrac{(5\times10^{-2})(1.6 \times10^3)}{4\times10^{-4}}
\\\\=
\dfrac{5(1.6)}{4}\times10^{-2+3-(-4)}
\\\\=
2\times10^{-2+3+4}
\\\\=
2\times10^{5}
.\end{array}
Since the exponent of $10$ is $\text{positive }
5
,$ move the decimal point $
5
$ places to the $\text{right.}$ Hence, the standard form of the expression above is
\begin{array}{l}\require{cancel}
200,000
.\end{array}
