Math, asked by testsix92671, 5 months ago

(-√-1)^4ñ+3
Where n is a positive integer

Answers

Answered by anmol885128
1

Step-by-step explanation:

( - √-1^4n+3)

=(-i^4n+3). [a^{b+c}=a^b×a^c]

=(i^4n)(-i^3).

=(i)(-i). [i to the power 4n ] [i^3=-i]

=-i^2

=-(-1)

=1

Answered by Karamjotkaur
1

Step-by-step explanation:

 { -  \sqrt{ - 1} }^{4n + 3 }  \\  \sqrt{ - 1 }  = i \\   { - i}^{4n + 3 } =  { - i}^{4n}   +   { - i}^{3}  \\  { - i}^{4n}  +  - i \\

1 + -i

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