Question

If (8^9)p=8^18,what is the value of p? 20 points

Answer 1

`:\implies\sf\:(8^9)^p=8^(18)`

`\dag\bf\:(a^m)^n=a^(mn)`

`:\implies\sf8^(9p)=8^(18)`

`\dag\bf\:18=9* 2`

`:\implies\sf\:8^(9p)=8^(9* 2)`

`\dag\bf\:a^x=a^y\:\longrightarrow\:x=y`

`:\implies\sf\:9p=9* 2`

`:\implies\boxed{\bf{\red{p=2}}}`