Q. 24.7( 61 Votes )

Express the following in exponential form:

(i) 6 × 6 × 6 × 6

(ii) t × t

(iii) b × b × b × b

(iv) 5 × 5 × 7 × 7 × 7

(v) 2 × 2 × a × a

(vi) a × a × c × c × c × c × d

Answer :

(i) We have,

6 × 6 × 6 × 6


= 61+1+1+1


= 64


(ii) We have,


t × t


= t1+1


= t2


(iii) We have,


b × b × b × b


= b1+1+1+1


= b4


(iv) We have,


5 × 5 × 7 × 7 × 7


= 51+1 × 71+1+1


= 52 × 73


(v) We have,


2 × 2 × a × a


= 21+1 × a1+1


= 22 × a2


(vi) We have,


a × a × a × c × c × c × c × d


= a1+1+1 × c1+1+1+1 × d1


= a3 × c4 × d

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