Question

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

Answer 1

Answer :

$:\implies\sf\:(8^9)^p=8^{18}$

$\dag\bf\:(a^m)^n=a^{mn}$

$:\implies\sf8^{9p}=8^{18}$

$\dag\bf\:18=9\times 2$

$:\implies\sf\:8^{9p}=8^{9\times 2}$

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

$:\implies\sf\:9p=9\times 2$

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