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To write 0.0078125 in scientific notation, you need to express it as a number between 1 and 10 multiplied by a power of 10.
In this case, 0.0078125 can be written as:
\[
7.8125 \times 10^{-3}
\]
So, the answer is \( 7.8125 \times 10^{-3} \).