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

Answer:

The value of p is 2.

Step-by-step explanation:

Given equation,

$(8^9)^p=8^{18}$

$8^{9\times p}=8^{18}$    ( $\because (a^m)^n=a^{mn}$ )

$8^{9p}=8^{18}$

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

Divide both sides by 9,

$p=2$

Hence, the value of p is 2.