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Simplify the Following `(A^(3n-9))^6/(A^(2n-4))` - Mathematics

Simplify the following

`(a^(3n-9))^6/(a^(2n-4))`

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Solution

`(a^(3n-9))^6/(a^(2n-4))`

`=a^(6(3n-9))/a^(2n-4)`

`=a^(18n-54)/a^(2n-4)`

`=a^(18n-54)xxa^-(2n-4)`

`=a^(18n-54)xxa^(-2n+4)`

`=a^(18n-54-2n+4)`

`=a^(16n-50)`

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 2 Exponents of Real Numbers
Exercise 2.1 | Q 1.6 | Page 12
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