Solve for (3/4)^x: Complete the Expression Problem

To solve this problem, we will apply the rules of exponents:

• Step 1: Identify the Given Expression
• Step 2: Apply the Exponent Rule

Now, let's work through these steps:

Step 1: We are given the expression $\left(\frac{3}{4}\right)^x$.

Step 2: According to the rule of exponents, when a fraction is raised to a power, this is equivalent to raising both the numerator and the denominator to that power. Therefore, we have:

$\left(\frac{3}{4}\right)^x = \frac{3^x}{4^x}$

Therefore, the expression $\left(\frac{3}{4}\right)^x$ is equivalent to $\frac{3^x}{4^x}$.

Thus, the correct answer is option 1, which is $\frac{3^x}{4^x}$.

The solution to the problem is $\frac{3^x}{4^x}$.