Home
Class 11
MATHS
Evaluate the following: (i^(41)+\ 1/i^25...

Evaluate the following: `(i^(41)+\ 1/i^257)^9`

Text Solution

AI Generated Solution

To evaluate the expression \((i^{41} + \frac{1}{i^{257}})^9\), we will follow a step-by-step approach. ### Step 1: Calculate \(i^{41}\) We know that the powers of \(i\) repeat every 4 terms: - \(i^1 = i\) - \(i^2 = -1\) - \(i^3 = -i\) ...
Promotional Banner

Topper's Solved these Questions

  • COMBINATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|117 Videos

  • DERIVATIVES

    RD SHARMA|Exercise Solved Examples And Exercises|236 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following: i^((1)/(58))

Evaluate the following : (i) i^(7) (ii) i^(51) (iii) (1)/(i) (iv) i^(-71) (v) (i^(37)+(1)/(i^(67)))

Evaluate the following (i) i^(9) (ii) i^(342) (iii) i^(998) (iv) i^(-63) (v) (i^(3)+(1)/(i^(3)))

Evaluate the following: i^(49)+i^(68)+i^(89)+i^(110)

Evaluate the following: (i) (cos37^(@))/(sin53^(@))(ii)(sin41^(@))/(cos49^(@))(iii)(tan54^(@))/(cot36^(@))

Find the values of the following : (i) i^(73) (ii) i^(-6) (iii) (1)/(i)

Find the modulus and amplitude of the following: (i) (1+i)/(1-i) (ii) (1)/(1+i) .

Evaluate (i^(.81) + 1)/(i^(253))^(9)

find the square roots of the following: (i) 1-i (ii) 1+i .

Find the argument of the following: (1+i)/(-sqrt(3)i)