Final answer:
The simplified form of (3.25 x 10^3)(7.8 x 10^6) written in scientific notation is 2.535 x 10^9.
Step-by-step explanation:
To simplify the expression (3.25 x 10^3)(7.8 x 10^6) in scientific notation, we can multiply the coefficients and add the exponents.
3.25 x 7.8 = 25.35
The exponents can be added since they have the same base: 10^(3+6) = 10^9.
Combining these results, we get the simplified form as 2.535 x 10^9.