-4-x-(-1%2F4)0-x-(-1%2F4)4.jpeg "(-1/4)-4 X (-1/4)0 X (-1/4)4")
Evaluating Expressions: (-1/4)-4 x (-1/4)0 x (-1/4)4
In this article, we will explore how to evaluate the expression (-1/4)-4 x (-1/4)0 x (-1/4)4. We will break down the expression into smaller parts and follow the order of operations to arrive at the final answer.
Understanding the Expression
The given expression is:
(-1/4)-4 x (-1/4)0 x (-1/4)4
This expression consists of three parts:
(-1/4)-4: Subtract 4 from -1/4x (-1/4)0: Multiply the result by 0 (since any number multiplied by 0 is 0)x (-1/4)4: Multiply the result by (-1/4)4 (which is equivalent to multiplying by (-1)4)
Evaluating the Expression
Let's evaluate the expression step by step:
Step 1: Evaluate (-1/4)-4
(-1/4) - 4 = (-1/4) - 16/4 = -64/4 = -16
So, (-1/4)-4 evaluates to -16.
Step 2: Multiply by (-1/4)0
-16 × (-1/4)0 = -16 × 0 = 0
Since any number multiplied by 0 is 0, the result is 0.
Step 3: Multiply by (-1/4)4
0 × (-1/4)4 = 0
Again, multiplying 0 by any number results in 0.
Final Answer
The final answer is 0. The expression (-1/4)-4 x (-1/4)0 x (-1/4)4 evaluates to 0.
In conclusion, by following the order of operations and breaking down the expression into smaller parts, we arrived at the final answer of 0.
