1. The problem asks to write the number 0.007752 in scientific notation. 2. Scientific notation expresses a number as $a \times 10^n$ where $1 \leq |a| < 10$ and $n$ is an integer. 3. To convert 0.007752, 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: $0.007752 = 7.752 \times 10^{-3}$. 5. The exponent is negative because we moved the decimal to the right, indicating a small number less than 1. 6. Final answer: $$0.007752 = 7.752 \times 10^{-3}$$