Compute (98)^5. - Vidyadip

Question

Compute $(98)^5.$

✓

Answer

Now,we express $98$ as the sum or difference of two numbers whose powers are easier to calculate, and then use Binomial Theorem.
Write $98 = 100 – 2$
Thus,$(98)^5 = (100-2)^5$
$=\ ^5C_0 (100)^5 –\ ^5C_1 (100)^4.2 +\ ^5C_2 (100)^32^2 -\ ^5C_3(100)^2 (2)^3 +\ ^5C_4 (100) (2)^4 –\ ^5C_5 (2)^5$
$= 10000000000 – 5 \times 100000000 \times 2 + 10 \times 1000000 \times 4 – 10 \times10000 \times 8 + 5 \times 100 \times 16 – 32$
$= 10040008000 – 1000800032 = 9039207968.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "1 Marks Question" from Binomial Theorem→Binomial Theorem — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

A point is in the XZ-plane. What can you say about its y-coordinate?

Write the negation of the following simple statement:
All similar triangles are congruent.

If P = {1, 2}, form the set P $\times$ P $\times$ P

Compute derivative of $g(x)=\cot x$

A coin is tossed 3 times and the out comes are recorded. How many possible outcomes are there?

Write the value of $\lim _{\theta \rightarrow 0} \frac{1-\cos \theta}{\theta}.$

Equation of a line is 3x – 4y + 10 = 0. Find its x - and y-intercepts.

Is the set {1, 2, 3, . . . , 99, 100} is finite or infinite?

If $\pi<\theta<2\pi$ and $\text{z}=1+\cos\theta+\text{i}\sin\theta,$ then write the value of $|\text{z}|.$

From the sets given below, select equal sets and equivalent sets.
$A = \{0, a\},$
$B = \{1, 2, 3, 4\},$
$C = \{4, 8, 12\},$
$D = \{3, 1, 2, 4\},$
$E = \{1, 0\},$
$F = \{8, 4, 12\},$
$G = \{1, 5, 7, 11\},$
$H = \{a, b\}.$