What is the value of i^7? Choices: [[1][i][-i][-1]]

Is Exponent Even or Odd?: i^7 Is exponent even or odd? Exponent: 7 7 is an odd number.Convert to i^4 and i^3: Convert i^7 into an expression with i^4 and i^3. i^7 = i^(4+3) = i^4 * i^3Evaluate i^4: Evaluate i^4. i^4 = 1 (from previous problem)Evaluate i^3: Evaluate i^3. i^3 = i^2 * i = (-1) * i = -iCombine Results: Combine results. i^7 = i^4 * i^3 = 1 * (-i) = -i

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the value of $i^7$ ?

View step-by-step help

Full solution

Q. What is the value of

i^7

Is Exponent Even or Odd?: $i^7$ Is exponent even or odd? Exponent: $7$ $7$ is an odd number.
Convert to $i^4$ and $i^3$ : Convert $i^7$ into an expression with $i^4$ and $i^3$ . $\newline$ $i^7$ $\newline$ $= i^{4+3}$ $\newline$ $= i^4 \cdot i^3$
Evaluate $i^4$ : Evaluate $i^4$ . $i^4 = 1$ (from previous problem)
Evaluate $i^3$ : Evaluate $i^3$ . $i^3 = i^2 imes i = (-1) imes i = -i$
Combine Results: Combine results. $i^7 = i^4 imes i^3 = 1 imes (-i) = -i$