Evaluate the Power Fraction: (2^4)/(7^4) Expression

Insert the corresponding expression:

$\frac{2^4}{7^4}=$

To solve this problem, we will apply the exponent rule for powers of a fraction.

• Step 1: Understand the given expression $\frac{2^4}{7^4}$.
• Step 2: Use the formula $\frac{a^n}{b^n} = \left(\frac{a}{b}\right)^n$ to rewrite the expression.
• Step 3: Apply this rule to rewrite $\frac{2^4}{7^4} = \left(\frac{2}{7}\right)^4$.

This shows that instead of writing separate powers for the numerator and denominator, we can express it as a single fraction raised to that power.

Thus, the expression $\frac{2^4}{7^4}$ corresponds to $\left(\frac{2}{7}\right)^4$.

The correct choice from the given options is:

• Choice 3: $\left(\frac{2}{7}\right)^4$

Therefore, the solution to the problem is $\left(\frac{2}{7}\right)^4$.