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Simplify the Following: `(5^(N+3)-6xx5^(N+1))/(9xx5^X-2^2xx5^N)` - Mathematics

Simplify the following:

`(5^(n+3)-6xx5^(n+1))/(9xx5^x-2^2xx5^n)`

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Solution

`(5^(n+3)-6xx5^(n+1))/(9xx5^x-2^2xx5^n)`

`=(5^(n+1)(5^2-6))/(5^n(9xx2^2))`

`=(5^nxx5xx(25-6))/(5^n(9-4))`

`=(5xx19)/5`

= 19

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 2 Exponents of Real Numbers
Exercise 2.1 | Q 7.3 | Page 12
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