Final answer:
To multiply numbers written in scientific notation, multiply the decimal parts and add the exponents. The final answer is 1.06944 x 10^-5.
Step-by-step explanation:
To multiply numbers written in scientific notation, you can first multiply the decimal parts and then add the exponents. In this case, the decimal parts are 2.34 and 4.56, which multiply to give 10.6944.
Since we want the final answer to be in scientific notation, we need to adjust the decimal part so that it is between 1 and 10. In this case, we can move the decimal point one place to the left, resulting in 1.06944.
The exponent is the sum of the exponents of the original numbers, so -3 + -2 = -5. Therefore, the final answer in scientific notation is 1.06944 x 10-5.