Calculate. \[ \frac{8 \times 10^{7}}{5 \times 10^{5}} \] Vrite your answer in scientific notation.

To calculate \(\frac{8 \times 10^{7}}{5 \times 10^{5}}\), we can simplify it by separating the coefficients and the powers of ten: \[ \frac{8}{5} \times \frac{10^{7}}{10^{5}} = 1.6 \times 10^{2} \] Thus, the result in scientific notation is \(1.6 \times 10^{2}\). Did you know that scientific notation is not only useful in mathematics but also in fields like astronomy? For instance, distances between planets are often expressed in scientific notation to easily manage the vast numbers involved! It's like having a secret code to navigate the universe's giant scales! Also, when working with scientific notation, one common mistake is forgetting to adjust the exponent correctly when dividing. Remember: when you divide powers of ten, you subtract exponents! So next time, double-check your power adjustments to avoid any cosmic confusion!