Question

Evaluate (3/4) to the power of 4. Show your work.

Answer 1

To evaluate (3/4) to the power of 4, multiply the fraction by itself four times: (3/4) × (3/4) × (3/4) × (3/4). This results in multiplying the numerators to get 81 and the denominators to get 256, so the answer is 81/256.

Step-by-step explanation:

Evaluating Powers of Fractions

To evaluate (3/4) to the power of 4, we simply multiply 3/4 by itself four times. The process is the same as with whole

numbers, where the expression nx means multiplying n by itself x times. Here's a step-by-step breakdown:

1. Write out the expression: (3/4) × (3/4) × (3/4) × (3/4).
2. Multiply the numerators together: 3 × 3 × 3 × 3 = 81.
3. Multiply the denominators together: 4 × 4 × 4 × 4 = 256.
4. Combine the two results: 81/256.

Therefore, (3/4) raised to the 4th power equals 81/256.