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

Question

Insert the corresponding expression:

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

00:00 Simplify the following problem

00:03 According to the laws of exponents, a fraction raised to the power (N)

00:06 equals the numerator and denominator raised to the same power (N)

00:11 We will apply this formula to our exercise

00:16 This is the solution

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:

$\frac{5^{ax}}{7^{ax}}$