Multiply and write your answer in scientific notation. Click Here for Help Video.

Question

Be sure to write your answer with the multiplication
(2×10^15) divied by (8×10 ^6)

Answer 1

To multiply and express your answer in scientific notation, we can follow these steps:

1. Divide the coefficients (the numbers in front): \[ \frac{2}{8} = 0.25 \]

2. Subtract the exponents (the powers of 10): \[ 10^{15 - 6} = 10^9 \]

3. Combine the results: \[ 0.25 \times 10^9 \]

4. Convert to proper scientific notation: In scientific notation, the coefficient must be between 1 and 10. To do this, we can convert \(0.25\) to \(2.5\) and adjust the exponent accordingly: \[ 0.25 = 2.5 \times 10^{-1} \]

5. Combining gives: \[ (2.5 \times 10^{-1}) \times (10^9) = 2.5 \times 10^{9 - 1} = 2.5 \times 10^8 \]

Hence, the final answer in scientific notation is: \[ \boxed{2.5 \times 10^8} \]