Complete the Expression: (5/7)^ax Power Formula

Insert the corresponding expression:

$\left(\frac{5}{7}\right)^{ax}=$

To solve the problem, follow these steps:

• Identify the given expression: $\left(\frac{5}{7}\right)^{ax}$.
• Apply the rule for exponentiation of a fraction: $\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}$.
• Exponentiate both the numerator and the denominator separately by $ax$:
• Calculate $\frac{5^{ax}}{7^{ax}}$ which follows directly from the application of the property.

Therefore, the rewritten expression is $\frac{5^{ax}}{7^{ax}}$.

Among the given choices, the correct one is:

• Choice 4: $\frac{5^{ax}}{7^{ax}}$