To write the number 0.0078125 in scientific notation, you can express it as a number between 1 and 10 multiplied by a power of 10.
- Move the decimal point to the right until you have a number between 1 and 10. In this case, moving the decimal point three places to the right gives you 7.8125.
- Since you moved the decimal point three places to the right, you need to multiply by \(10^{-3}\) to indicate that the original number was smaller.
Therefore, \(0.0078125\) in scientific notation is written as:
\[ 7.8125 \times 10^{-3} \]