Simplify (y^x*y^(-x))^4

${(y^{x} \cdot y^{- x})}^{4}$

Step 1

Multiply $y^{x}$ by $y^{- x}$ by adding the exponents.

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

${(y^{x - x})}^{4}$

Subtract $x$ from $x$ .

${(y^{0})}^{4}$

Step 2

Simplify $y^{0}$ .

$1^{4}$

Step 3

One to any power is one.

$1$