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If 49392 = A4b2c3, Find the Values Of A, B And C, Where A, B and C Are Different Positive Primes. - Mathematics

If 49392 = a4b2c3, find the values of a, b and c, where a, b and c are different positive primes.

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Solution

First find out the prime factorisation of 49392.

It can be observed that 49392 can be written as `2^4xx3^2xx7^3,` where 2, 3 and 7 are positive primes.

`therefore49392=2^4 3^2 7^3=a^4b^2c^3`

⇒ a = 2, b = 3, c = 7

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 2 Exponents of Real Numbers
Exercise 2.1 | Q 10 | Page 13
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