(1/4) ^ 4 * (- 1/3) ^ 2

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Jun 07, 2024

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Evaluating the Expression: (1/4) ^ 4 * (-1/3) ^ 2

In this article, we will evaluate the expression (1/4) ^ 4 * (-1/3) ^ 2. To do this, we need to follow the order of operations (PEMDAS) and evaluate the expression step by step.

Step 1: Evaluate the exponentiation

First, let's evaluate the exponentiation expressions:

(1/4) ^ 4

= (1/4) × (1/4) × (1/4) × (1/4) = 1/256

(-1/3) ^ 2

= (-1/3) × (-1/3) = 1/9

Step 2: Multiply the results

Now, let's multiply the results:

(1/256) × (1/9) = 1/2304

Therefore, the final result of the expression (1/4) ^ 4 * (-1/3) ^ 2 is 1/2304.