Simplify p^(x-1)p^(x+1)

$p^{x - 1} p^{x + 1}$

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

$p^{x - 1 + x + 1}$

Combine the opposite terms in $x - 1 + x + 1$ .

Add $- 1$ and $1$ .

$p^{x + x + 0}$

Add $x + x$ and $0$ .

$p^{x + x}$

Add $x$ and $x$ .

$p^{2 x}$