6. Express in power form: \( \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7} \)

You can express the product \( \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7} \) in power form as \( \left( \frac{5}{7} \right)^5 \). This notation succinctly represents multiplying the fraction \( \frac{5}{7} \) by itself five times—neat and tidy! Now, if you were to evaluate this expression, you would raise both the numerator and the denominator to the fifth power: \( \left( \frac{5}{7} \right)^5 = \frac{5^5}{7^5} \). Calculating \( 5^5 \) gives you 3125, and \( 7^5 \) yields 16807, leading to the fraction \( \frac{3125}{16807} \). Calculations can be fun, especially with powers involved!