Solve: Evaluating -(-1)^100 with Double Negatives

−(−1)100= -(-1)^{100}=

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Step-by-step video solution

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00:00 Solve
00:04 First let's calculate the sign
00:08 Even power, therefore the sign will be positive
00:13 Now let's calculate the power, 1 raised to any number always equals 1
00:20 Negative times positive always equals negative
00:23 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

−(−1)100= -(-1)^{100}=

2

Step-by-step solution

To solve the problem, we need to evaluate the expression −(−1)100-(-1)^{100}.

  • Step 1: Assess the exponent in (−1)100(-1)^{100}. Since 100100 is an even number, the property of powers of −1-1 tells us that (−1)100=1(-1)^{100} = 1.
  • Step 2: Now, consider the entire expression. We have an outer negation: −(+1)-(+1). Arithmetic operation of negation results in −1-1.

Therefore, the solution to the problem is −1-1.

3

Final Answer

−1 -1

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\( (-2)^7= \)

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