Q. 84.4( 21 Votes )

# Using binomial theorem, evaluate each of the following:

(101)^{4}

Answer :

(101)^{4} = (100+1)^{4}

We know that-

Hence

Thus,

Putting a = 100 & b = 1, we get-

Thus,

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Quiz on Greatest term in binomial expansion | Revising Binomial theorem38 mins

Binomial theorem for any index | Interactive Quiz48 mins

Greatest term in binomial expansion | Revising Binomial theorem43 mins

Finding remainder using binomial theorem43 mins

Finding coefficient of x^n in binomial expansion59 mins

Interactive Quiz | general & middle terms53 mins

Learn Binomial Theorem through Questions | Check Yourself46 mins

Lecture on properties of Binomial Coefficients58 mins

Interactive Quiz on properties of Binomial Coefficients51 mins

Master on Binomial Theorem for any index41 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Prove that

RS Aggarwal - MathematicsUsing binominal theorem, evaluate each of the following :

(i) (101)^{4} (ii) (98)^{4}

(iii)(1.2)^{4}

RS Aggarwal - Mathematics

Evaluate :

RS Aggarwal - Mathematics

Using binomial theorem, expand each of the following:

(3x^{2} – 2ax + 3a^{2})^{3}

RS Aggarwal - Mathematics