Home
Class 11
MATHS
Evaluate the following: i^(-999)...

Evaluate the following: `i^(-999)`

Text Solution

Verified by Experts

Given `i^(-999)`
`=>1/i^999`
`=>1/((i^4)^250 i^(-1))`
As `i^4=1`
`=>i/1=>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

Using the formula for squaring a binomial, evaluate the following: (999)^(2) (ii) (703)^(2)

Using the formula for squaring a binomial evaluate the following: (i) (69)^(2) (ii) (78)^(2) (iii) (197)^(2) (iv) (999)^(2)

Using suitable identity , evaluate the following (i) 103^(3) (ii) 101xx102 (iii) 999^(2)

Evaluate the followings using binomial theorem (i) (999)^(4) (ii) (49)^(5)

Using differentials, find the approximate value of each of the following up to 3 places of decimal. (0.999)^(1//10)

Find the sum of the following series: 9+99+999+rarr n terms

Find the squares of the following numbers using the identity (a-b)^2=a^2-2a b+b^2: (I)395 (ii) 995 (iii) 495 (iv) 498 (v)99 (vi) 999 (vii) 599

The value of iota^(-999) is

Evaluate: (999)^5

Add the following 9.09, 0.909, 99.9, 9.99, 0.099