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

Simplify the following

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

#### 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