Evaluate -(-1)^100 × 2²: Step-by-Step Solution Guide

−(−1)100⋅22= -(-1)^{100}\cdot2^2=

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Step-by-step video solution

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00:00 Solve
00:04 First, let's calculate the sign
00:07 Even power, therefore the sign will be positive
00:14 Let's calculate the square
00:20 1 to any power is always equal to 1
00:28 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

−(−1)100⋅22= -(-1)^{100}\cdot2^2=

2

Step-by-step solution

To solve this problem, we need to evaluate −(−1)100⋅22-(-1)^{100}\cdot2^2.

  • Step 1: Calculate (−1)100(-1)^{100}. Since 100 is an even number, (−1)100=1(-1)^{100} = 1.
  • Step 2: Calculate 222^2. This gives us 44.
  • Step 3: Multiply the results from the first two steps: 1⋅4=41 \cdot 4 = 4.
  • Step 4: Apply the negative sign: −4-4.

Thus, when evaluating the expression, we find that the correct result is −4-4.

3

Final Answer

−4 -4

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\( (-2)^7= \)

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