#### Answer

$\frac{1}{9}$

#### Work Step by Step

You are given ($N^{9}$$)^{X}$=n.You have to solve for X:
$n^{9*x}$=n -multiply exponents when raising power to a power-
$n^{9x}$=n -simplify-
9x=1 -write as a non-exponential equation since the bases cancel out and divide both sides by 9-
x=$\frac{1}{9}$