How do you simplify #6^2 / (6^-4 x 5^1)^-2#?

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Answer 1 · 2018-08-10T07:10:58

#:.X=(5^2x^2)/6^6#

Let ,

#X=6^2/(6^-4x5^1)^color(red)(-2#

#:.X=6^2xx(6^-4x5^1)^color(red)(2)...to[becausea^-n=1/a^n]#

#:.X=6^2xx(6^-4)^2(x)^2(5)^2#

#:.X=6^2xx6^-8 xx x^2 xx5^2to[because (a^m)^n=a^(mn)]#

#:.X=6^(2-8) xx x^2 xx5^2...to[because a^m xx a^n=a^(m+n)]#

#:.X=6^-6 x^2 xx 5^2#

#:.X=(5^2x^2)/6^6=(25x^2)/46656#