Final answer:
To calculate 9.25x10^-8 x 6.40x10^3 x 10 and express in scientific notation, multiply the decimal numbers, add exponents, and adjust the result to get 5.920 x 10^-3.
Step-by-step explanation:
To perform the operation 9.25x10^-8 x 6.40x10^3 x 10 and express the answer in scientific notation, we first multiply the decimal numbers together and then add the exponents of 10. When multiplying in scientific notation, we simply add the exponents when the bases are the same. Here's how the calculation is done step by step:
- Multiply the decimal parts: 9.25 x 6.40 = 59.20.
- Add the exponents: (-8) + 3 + 1 (since 10 = 10^1) = -4.
- Combine the decimal multiplication result with the new exponent: 59.20 x 10^-4.
- Adjust the decimal point to fit scientific notation: 5.920 x 10^-3 (we moved the decimal three places to the right, so we add 3 to the exponent).
Therefore, the final answer in proper scientific notation is 5.920 x 10^-3.
To perform the given operation and express the answer in scientific notation, we need to multiply the numbers and add their exponents.
9.25 x 10^-8 x 6.40 x 10^3 x 10 = (9.25 x 6.40 x 10^-8 x 10^3 x 10)
= 59.2 x 10^-8+3 x 10
= 59.2 x 10^-5 x 10
= 5.92 x 10^-4 x 10 = 5.92 x 10^-3