Math, asked by saiaadharshini9, 1 month ago

Express the following as a product of prime factors only in the exponential form:
(i) 108 x 192​

Answers

Answered by vaishubh1707
2

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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