Using binominal theorem, evaluate each of the following :
(i) (101)4 (ii) (98)4
(iii)(1.2)4
(i) (101)4
To find: Value of (101)4
Formula used: (i)
(ii) (a+b)n = nC0an + nC1an-1b + nC2an-2b2 + …… +nCn-1abn-1 + nCnbn
101 = (100+1)
Now (101)4 = (100+1)4
(100+1)4 =
= 104060401
Ans) 104060401
(ii) (98)4
To find: Value of (98)4
Formula used: (I)
(ii) (a+b)n = nC0an + nC1an-1b + nC2an-2b2 + …… +nCn-1abn-1 + nCnbn
98 = (100-2)
Now (98)4 = (100-2)4
(100-2)4
= 92236816
Ans) 92236816
(iii) (1.2)4
To find: Value of (1.2)4
Formula used: (i)
(ii) (a+b)n = nC0an + nC1an-1b + nC2an-2b2 + …… +nCn-1abn-1 + nCnbn
1.2 = (1 + 0.2)
Now (1.2)4 = (1 + 0.2)4
(1+0.2)4
= 2.0736
Ans) 2.0736