1. The problem asks to express the number 0.0062143 in standard form. 2. Standard form (also called scientific notation) expresses numbers as $a \times 10^n$ where $1 \leq |a| < 10$ and $n$ is an integer. 3. To convert 0.0062143, move the decimal point to the right until only one non-zero digit remains to the left of the decimal. 4. Moving the decimal 3 places right gives $6.2143$. 5. Since we moved the decimal 3 places right, the exponent $n$ is $-3$. 6. Therefore, the standard form is $$6.2143 \times 10^{-3}$$. 7. This means 0.0062143 equals $6.2143$ multiplied by $10$ raised to the power of $-3$. 8. This form is useful for expressing very small or very large numbers compactly and clearly.