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

Question

(1)10022= -(-1)^{100}\cdot2^2=

Video Solution

Step-by-Step Solution

To solve this problem, we need to evaluate (1)10022-(-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: 14=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.

Answer

4 -4