Question

Find the value of x

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Answer 1

((-3/4)^-9)^X = (-3/4)^-9
=> (-3/4)^-9x = (-3/4)^-9
=> X =1

Answer 2

{ (3/4)^-6 ÷(3/4)^3 }^x = (3/4)^-9

we know,
x^m÷x^n = x^(m -n)
use this ,
{ (3/4)^(-6-3)}^x = (3/4)^-9

{(3/4)^-9}^x = (3/4)^-9

we know,
(x^m)^n = x^mn
use this here,

(3/4)^-9x = (3/4)^-9

we know,
x^m = x^n
then, m = n
use this here,

-9x = -9

x = -9/-9 = 1

hence, x = 1