Answer
$6.0\times10^{1}$
Work Step by Step
We start with the given expression: $0.2(3\times10^{2})$
We rewrite the expression using the associative property: $0.2\times3\times10^{2}$
We multiply the first two terms: $0.6\times10^{2}$
Since 0.6 is not between 1 and 10, the number is not in scientific notation.
To convert a number not in scientific notation with a power of $10$ to scientific
notation, we must move the decimal to the left or to the right, counting the number of places, until the number is between $1$ and $10$, and multiply by a power of $10$. If the number is less than $1$, and we moved the decimal to the right, we subtract the number of places we moved the decimal point to the existing power of $10$. If the number is greater than $1$, and we moved the decimal to the left, we add the number of places we moved the decimal point to the existing power of $10$.
We move the decimal point $1$ place to the right, so we subtract $1$ from the power of $10$: $6.0\times10^{1}$
