Calculate (9/20) Raised to the Sixth Power: Fraction Exponent Problem

To solve this problem, we will use the exponent rule for fractions, which states that $\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}$.

• Step 1: Recognize that the given expression is $\left(\frac{9}{20}\right)^6$. This means we have a fraction base with an exponent 6.
• Step 2: Apply the exponent rule: $\left(\frac{9}{20}\right)^6 = \frac{9^6}{20^6}$.
• Step 3: Compare this with the given multiple choices to select the correct one.

Upon comparing, we see that the correct choice from the given options is $\frac{9^6}{20^6}$, which matches the expression derived using the exponent rule.

Therefore, the solution to the problem is $\frac{9^6}{20^6}$.