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Express the following as a product of prime factors only in exponential form: 108 × 192 - Mathematics

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Question

Express the following as a product of prime factors only in exponential form:

108 × 192

Sum
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Solution

108 × 192

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

= (22 × 33) × (26 × 3)

= 22 + 6 × 33 + 1        ...(am × an = am + n)

= 28 × 34

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Chapter 11: Exponents and Powers - EXERCISE 11.2 [Page 182]

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NCERT Mathematics [English] Class 7
Chapter 11 Exponents and Powers
EXERCISE 11.2 | Q 4. (i) | Page 182

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