we are given
[tex] (8^9)p = 8^{18} [/tex]
we can isolate p on any one side
[tex] \frac{(8^9)p}{8^9} =\frac{ 8^{18} }{8^9} [/tex]
[tex] p = 8^{18}*8^{-9} [/tex]
[tex] p = 8^{18-9} [/tex]
now, we can subtract exponents
and we get
[tex] p = 8^{9} [/tex]...........Answer