Calculate (20/21)⁴: Evaluating the Fourth Power of a Fraction

To solve this problem, we'll follow these steps:

• Identify the given expression which is $\left(\frac{20}{21}\right)^4$.

• Apply the exponentiation rule for fractions: $\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}$.

• Calculate $20^4$ and $21^4$ and place them as the numerator and denominator, respectively.

Now, let's work through each step:
Step 1: We begin with the expression $\left(\frac{20}{21}\right)^4$.
Step 2: Using the power of a fraction rule, we have $\left(\frac{20}{21}\right)^4 = \frac{20^4}{21^4}$.

Therefore, the corresponding simplified expression is $\frac{20^4}{21^4}$.