Where's One?

Algebra Level 1

$\large \frac{\color{#624F41}8^{\color{#3D99F6}p}+\color{#624F41}{27}^{\color{#3D99F6}p}}{\color{#20A900}{12}^{\color{#3D99F6}p}+\color{#20A900}{18}^{\color{#3D99F6}p}}=\frac{\color{#624F41}{8}+\color{#624F41}{27}}{\color{#20A900}{12} + \color{#20A900}{18}}$

A number $p$ satisfy the above equation. Which of these choices satisfy the value of $p$ ?