catwolf1995
catwolf1995 catwolf1995
  • 06-10-2019
  • Mathematics
contestada

Simplify.

i^68

A. -i

B. 1 (I think it's B, please tell me if it's right or not. Thank you.)

C. -1

D. i


Respuesta :

CharlieBrown2002
CharlieBrown2002 CharlieBrown2002
  • 06-10-2019

Answer:

B. 1

Step-by-step explanation:

Isolate i on one side of the equation.

First, use exponent rule.

[tex]\displaystyle \mathsf{A^B^C=(A^B)^C}}[/tex]

[tex]\displaystyle \mathsf{(I^2)^3^4=I^6^8}}[/tex]

[tex]\displaystyle \mathsf{(I^2)^3^4}}[/tex]

Solve. (by imaginary number rule.)

i²=-1

(-1)³⁴

=1³⁴

1³⁴=1

=1

[tex]\Large\boxed{\mathsf{\Rightarrow 1}}}[/tex]

In conclusion, the final answer is (B.) 1.

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