Final answer:
To multiply (6.234 m) (4.91 x 10^-5 n), first multiply the decimal parts and then the exponents of ten, adjust the result to have one non-zero digit before the decimal, to then end up with 3.0608 × 10^-4 in scientific notation.
Step-by-step explanation:
To multiply the numbers (6.234 m) (4.91 x 10^-5 n) and express the product in scientific notation, you perform the multiplication separately for the decimal numbers and the powers of ten, respectively.
Multiply the decimal numbers: 6.234 × 4.91 = 30.60834
Multiply the exponents of ten: 10^0 × 10^-5 = 10^(-5), where 10^0 equals 1 because any non-zero number to the power of 0 is 1.
Now you have: 30.60834 × 10^-5. This is almost in scientific notation, but the decimal needs to be between the first two non-zero digits and the exponent adjusted accordingly.
Therefore, move the decimal point to turn the number into a number between 1 and 10: 3.060834 × 10^1.
Adjust the exponent: 10^1 × 10^-5 = 10^-4, so we have 3.060834 × 10^-4.
This is now properly in scientific notation. However, if you want to write it using a standard format that typically includes only one digit before the decimal place, we can rounds it to: 3.0608 × 10^-4, provided that the context allows for such rounding.