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.