Evaluate 9^p*3

$9^{p} \cdot 3$

Rewrite $9$ as $3^{2}$ .

${(3^{2})}^{p} \cdot 3$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$3^{2 p} \cdot 3$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3^{2 p + 1}$