## Intermediate Algebra (12th Edition)

$200,000$
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}