Answer
$3.18\times10^{-3}$
Work Step by Step
We start with the given expression: $6(5.3\times10^{-4})$
We rewrite the expression using the associative property: $6\times5.3\times10^{-4}$
We multiply the first two terms: $31.8\times10^{-4}$
Since 31.8 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 left, so we add $1$ to the power of $10$: $3.18\times10^{-3}$
