We have
[tex]9^{15}\cdot\frac{1}{9^{15}}=\frac{9^{15}}{9^{15}}[/tex]Now we have to remember that
[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]then, in our case
[tex]9^{15}\cdot\frac{1}{9^{15}}^{}=\frac{9^{15}}{9^{15}}=9^{15-15}=9^0=1[/tex]Then the answer is 1.