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Q.4 Express each of the following as a product of prime factors only in exponential form:
(i) 108 × 192
(ii) 270
(iii) 729 × 64
(iv) 768
Answer :

(i) 108 × 192 = 2 × 2 × 3 × 3 × 3 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3
=\(2^8 × 3^4\)
(ii) \( 270 = 2×3×3×3×5 = 2×3^3×5 \)
(iii) 729 × 64 = 3 × 3 × 3 × 3 × 3 × 3 × 2 × 2 × 2 × 2 × 2 × 2
\(=3^6 × 2^6 \)
(iv) 768 = 2×2×2×2×2×2×2×2×3 = \( 2^8 ×3 \)