Which of the following is equivalent to the complex number i^(8) ? Choose 1 answer: (A) 1 (B) i (C) -1 (D) -i

Introduction: To solve for i^(8), we need to remember that i is the imaginary unit, which is defined by the property that i^2 = -1. We can use this property to simplify i^(8). i^(8) = (i^2)^(4) Since i^2 = -1, we can substitute -1 into the equation. (i^2)^(4) = (-1)^(4) Now we calculate (-1)^(4). (-1)^(4) = 1

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Which of the following is equivalent to the complex number
i^(8) ?
Choose 1 answer:
(A) 1
(B)
i
(C) -1
(D)
-i

Which of the following is equivalent to the complex number $i^{8}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $1$ $\newline$ (B) $i$ $\newline$ (C) $-1$ $\newline$ (D) $-i$

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Math Problems

Algebra 1

Domain and range of quadratic functions: equations

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Q. Which of the following is equivalent to the complex number

i^{8}

\newline

Choose

1

answer:

\newline

(A)

1

\newline

(B)

i

\newline

(C)

-1

\newline

(D)

-i

Introduction: To solve for $i^{8}$ , we need to remember that $i$ is the imaginary unit, which is defined by the property that $i^2 = -1$ . We can use this property to simplify $i^{8}$ . $\newline$ $i^{8} = (i^2)^{4}$ $\newline$ Since $i^2 = -1$ , we can substitute $-1$ into the equation. $\newline$ $(i^2)^{4} = (-1)^{4}$ $\newline$ Now we calculate $(-1)^{4}$ . $\newline$ $(-1)^{4} = 1$