Simplify the Power Fraction: (20^4)/(31^4) Calculation

Insert the corresponding expression:

$\frac{20^4}{31^4}=$

To solve this problem, we need to rewrite the given expression $\frac{20^4}{31^4}$ using properties of exponents.

Let's take these steps:

• Step 1: Recognize the expression as a fraction raised to a power. The problem provides $\frac{20^4}{31^4}$.
• Step 2: Apply the power of a fraction rule: For any real numbers $a$ and $b$, and a positive integer $n$, $\left( \frac{a}{b} \right)^n = \frac{a^n}{b^n}$.

Applying Step 2, we write:

$\frac{20^4}{31^4} = \left(\frac{20}{31}\right)^4$.

Thus, the corresponding expression is $\left(\frac{20}{31}\right)^4$.

Therefore, the solution to the problem is $\left(\frac{20}{31}\right)^4$.