Q. 44.5( 87 Votes )

Express each of t

Answer :

(i) We have,

108 × 192


We have to express this as a product of prime factors only in exponential form


108 × 192


= (2 × 2 × 3 × 3 × 3) × (2 × 2 × 2 × 2 × 2 × 2 × 3)


= (22 × 33) × (26 × 3)


Using identity: (am × an = am + n)


= 26 + 2 × 33 + 1


= 28 × 34


(ii) We have,


270


We have to express this as a product of prime factors only in exponential form


Thus,


270


= 2 × 3 × 3 × 3 × 5


= 2 × 33 × 5


(iii) We have,


729 × 64


We have to express this as a product of prime factors only in exponential form


Thus,


729 × 64


= (3 × 3 × 3 × 3 × 3 × 3) × (2 × 2 × 2 × 2 × 2 × 2)


= 36 × 26


(iv) We have,


768


We have to express this as a product of prime factors only in exponential form


Thus, 768 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3


= 28 × 3


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