Simplify the Power Fraction: (10^5)/(17^5) Expression

To solve the given problem, we want to rewrite the expression $\frac{10^5}{17^5}$ using the rules of exponents.

• Step 1: Recognize that both the numerator and the denominator are raised to the 5th power.
• Step 2: Apply the rule $\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}$, which allows us to combine the power into a single expression.

By applying this rule, we have:

$\frac{10^5}{17^5} = \left(\frac{10}{17}\right)^5$

This shows that the original expression can be rewritten as a single power of a fraction.

Therefore, the simplified form of the expression is $\left(\frac{10}{17}\right)^5$.