To multiply two numbers written in scientific notation, we can simply multiply their coefficients and add their exponents of 10.
Multiplying the coefficients, we get:
(4.1 × 10^12) × (3.5 × 10^-7) = (4.1 × 3.5) × 10^(12 + (-7))
= 14.35 × 10^5
To express the result in scientific notation, we can move the decimal point one place to the left, and increase the exponent of 10 by one:
= 1.435 × 10^6
Therefore, (4.1 × 10^12) × (3.5 × 10^-7) = 1.435 × 10^6.