(-2)4÷(+16)×(-1)7

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Jun 07, 2024

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Evaluating the Expression: (-2)4÷(+16)×(-1)7

When evaluating mathematical expressions, it's essential to follow the order of operations (PEMDAS) to ensure accuracy. In this article, we'll break down the expression (-2)4÷(+16)×(-1)7 and evaluate it step by step.

Step 1: Evaluate the Exponents

First, let's evaluate the exponents in the expression. We have:

• (-2)4, which means (-2) raised to the power of 4. This equals (-2) × (-2) × (-2) × (-2) = 16
• (-1)7, which means (-1) raised to the power of 7. This equals (-1) × (-1) × (-1) × (-1) × (-1) × (-1) × (-1) = -1

So, the expression becomes 16÷(+16)×(-1).

Step 2: Divide 16 by 16

Next, we'll perform the division operation. Divide 16 by 16:

16 ÷ 16 = 1

So, the expression becomes 1 × (-1).

Step 3: Multiply by -1

Finally, we'll multiply 1 by -1:

1 × (-1) = -1

Final Answer

The final answer is -1.