Answered

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Question 3 of 10
What is i^30?
O A. -1
B. -1
C. i
O D. 1
SUB

Sagot :

RevyBreeze

Answer:

-1

Step-by-step explanation:

Rewrite

[tex]i^3^0[/tex] as [tex](i^4)^7i^2.[/tex]

Factor out [tex]i^2^8.[/tex]

[tex]i^2^8i^2[/tex]

Rewrite [tex]i^2^8[/tex] as [tex](i^4)^7[/tex]

Rewrite [tex]i^4[/tex] as [tex]1[/tex]

Rewrite [tex]i^4[/tex] as [tex](i^2)^2.[/tex]

[tex]((i^2)^2)^7i^2[/tex]

Rewrite [tex]i^2[/tex] as [tex]-1.[/tex]

Raise -1 to the power of 2.

[tex]1^7i^2.[/tex]

One to any power is one.

[tex]1i^2[/tex]

Multiply [tex]i^2[/tex]  by 1.

Rewrite [tex]i^2[/tex] as -1

[RevyBreeze]

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