How many times greater is \( 8 \times 10^{6} \) than \( 5 \times 10^{2} ? \)

To find how many times greater \( 8 \times 10^{6} \) is than \( 5 \times 10^{2} \), we can divide the two numbers: \[ \frac{8 \times 10^{6}}{5 \times 10^{2}} \] We can simplify this expression by separating the coefficients and the powers of ten: \[ = \frac{8}{5} \times \frac{10^{6}}{10^{2}} \] Next, we simplify \( \frac{10^{6}}{10^{2}} \) using the property of exponents: \[ \frac{10^{6}}{10^{2}} = 10^{6-2} = 10^{4} \] Now we can substitute this back into our expression: \[ = \frac{8}{5} \times 10^{4} \] Calculating \( \frac{8}{5} \): \[ \frac{8}{5} = 1.6 \] Thus, we have: \[ 1.6 \times 10^{4} \] Now, we can express \( 1.6 \times 10^{4} \) in standard form: \[ 1.6 \times 10^{4} = 16000 \] Therefore, \( 8 \times 10^{6} \) is \( 16000 \) times greater than \( 5 \times 10^{2} \). The final answer is: \[ \boxed{16000} \]