Question

If (89)p = 818, what is the value of p? 9 and p and 18 is exponets

Answer 1

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

Answer 2

The value of p is 2.

Explanation:

Given equation,

`(8^9)^p=8^(18)`

`8^(9* p)=8^(18)` (
`\because (a^m)^n=a^(mn)` )

`8^(9p)=8^(18)`

`9p = 18` (
`\because a^m =a^n\implies m = n` )

Divide both sides by 9,

`p=2`

Hence, the value of p is 2.