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

${(x + y)}^{- 1} (x + y)$

Multiply ${(x + y)}^{- 1}$ by $x + y$ by adding the exponents.

Multiply ${(x + y)}^{- 1}$ by $x + y$ .

Raise $x + y$ to the power of $1$ .

${(x + y)}^{- 1} {(x + y)}^{1}$

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

${(x + y)}^{- 1 + 1}$

Add $- 1$ and $1$ .

${(x + y)}^{0}$

Simplify ${(x + y)}^{0}$ .

$1$