Calculate. \[ \left(8 \times 10^{5}\right)\left(6 \times 10^{2}\right) \] Write your answer in scientific notation.

To calculate \(\left(8 \times 10^{5}\right)\left(6 \times 10^{2}\right)\) and express the result in scientific notation, follow these steps: 1. **Multiply the coefficients (the numbers before the powers of 10):** \[ 8 \times 6 = 48 \] 2. **Add the exponents of 10:** \[ 10^{5} \times 10^{2} = 10^{5+2} = 10^{7} \] 3. **Combine the results:** \[ 48 \times 10^{7} \] 4. **Adjust to proper scientific notation:** Scientific notation requires the coefficient to be between 1 and 10. To adjust: \[ 48 \times 10^{7} = 4.8 \times 10^{1} \times 10^{7} = 4.8 \times 10^{8} \] **Final Answer:** \[ 4.8 \times 10^{8} \]