Respuesta :

if your equation is (8^9)^p=8^18, then 9p=18, p=2

Answer:

The value of p is 2.

Step-by-step explanation:

Given equation,

[tex](8^9)^p=8^{18}[/tex]

[tex]8^{9\times p}=8^{18}[/tex]    ( [tex]\because (a^m)^n=a^{mn}[/tex] )

[tex]8^{9p}=8^{18}[/tex]

[tex]9p = 18[/tex]     ( [tex]\because a^m =a^n\implies m = n[/tex] )

Divide both sides by 9,

[tex]p=2[/tex]

Hence, the value of p is 2.