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7. simplify $-2i^{12}$. $-2i^{12}=$ enter your next step here

Question

  1. simplify $-2i^{12}$. $-2i^{12}=$ enter your next step here

Explanation:

Step1: Recall the property of $i$

We know that $i^2=- 1$, and $i^{12}=(i^2)^6$.

Step2: Substitute $i^2$

Since $i^2 = - 1$, then $(i^2)^6=(-1)^6$.

Step3: Calculate $(-1)^6$

$(-1)^6 = 1$.

Step4: Multiply by -2

$-2i^{12}=-2\times1$.

Answer:

$-2$