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Write the Sum of the Exponents of Prime Factors in the Prime Factorization of 98.

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Question

Write the sum of the exponents of prime factors in the prime factorization of 98.

Numerical
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Solution

Using the factor tree for prime factorization, we have:

Therefore,

`98=2xx7xx7`

`98=2xx7^2`
The exponents of 2 and 7 are 1 and 2 respectively.
Hence the sum of the exponents is

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Chapter 1: Real Numbers - Exercise 1.7 [Page 57]

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R.D. Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercise 1.7 | Q 5 | Page 57

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