Final answer:
To multiply numbers in scientific notation, multiply the coefficients and add the exponents. 7.5x10^41 * 1.25x10^-9 = 9.375x10^32.
Step-by-step explanation:
To multiply numbers in scientific notation, you multiply the coefficients and add the exponents.
- The coefficient of 7.5 is 7.5.
- The coefficient of 1.25 is 1.25.
- The exponent of 10 in 7.5x10^41 is 41.
- The exponent of 10 in 1.25x10^-9 is -9.
Multiplying the coefficients gives us 7.5x1.25 = 9.375.
Adding the exponents gives us 41 + (-9) = 32.
Therefore, 7.5x10^41 * 1.25x10^-9 = 9.375x10^32 in scientific notation.