Express the following as a product of prime factors only in the exponential form:
(i) 108 x 192
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Answer:
2⁸× 3⁴
Step-by-step explanation:
108 = 2 × 54
= 2 × 2 × 27
= 2× 2 × 3 × 9
= 2× 2 × 3 × 3 × 3
192 = 2 × 96
= 2 × 2 × 48
= 2 × 2 × 2 × 24
= 2× 2 × 2 × 2 × 12
= 2× 2 × 2 × 2 × 2 × 6
= 2× 2 × 2 × 2 × 2 × 2 × 3
108 × 192
= 2× 2 × 3 × 3 × 3 × 2× 2 × 2 × 2 × 2 × 2 × 3
=2× 2× 2× 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3
= 2⁸× 3⁴
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