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Which of the following is equivalent to the complex number
i^(14) ?
Choose 1 answer:
(A) 1
(B)
i
(C) -1
(D)
-i

Which of the following is equivalent to the complex number $i^{14}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $1$ $\newline$ (B) $i$ $\newline$ (C) $-1$ $\newline$ (D) $-i$

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Domain and range of quadratic functions: equations

Full solution

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

i^{14}

?

\newline

Choose

1

answer:

\newline

(A)

1

\newline

(B)

i

\newline

(C)

-1

\newline

(D)

-i

Introduction: To solve for $i^{14}$ , we need to remember that $i$ is the imaginary unit, which is defined by $i^2 = -1$ . We can use this property to simplify $i^{14}$ . $\newline$ $i^{\(14\)} = (i^\(2\))^{\(7\)} = (\(-1\))^{\(7\)} = \(-1\)

More problems from Domain and range of quadratic functions: equations

Question

h

is defined over the real numbers. This table gives a few values of

h

\newline

\begin{tabular}{lllll}

\newline

x

-6

1

-6

01

-6

001

-5

9

\newline

h(x)

-0

25

-0

74

-0

98

-1

0

\newline

\newline

What is a reasonable estimate for

\lim _{x \rightarrow-6} h(x)

\newline

1

\newline

-6

\newline

-2

\newline

-1

\newline

(D) The limit doesn't exist

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\newline

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