Simplify x^6y^4x^-1y^-4

$x^{6} y^{4} x^{- 1} y^{- 4}$

Step 1

Multiply $x^{6}$ by $x^{- 1}$ by adding the exponents.

Move $x^{- 1}$ .

$x^{- 1} x^{6} y^{4} y^{- 4}$

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

$x^{- 1 + 6} y^{4} y^{- 4}$

Add $- 1$ and $6$ .

$x^{5} y^{4} y^{- 4}$

Step 2

Multiply $y^{4}$ by $y^{- 4}$ by adding the exponents.

Move $y^{- 4}$ .

$x^{5} (y^{- 4} y^{4})$

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

$x^{5} y^{- 4 + 4}$

Add $- 4$ and $4$ .

$x^{5} y^{0}$

Step 3

Simplify $x^{5} y^{0}$ .

$x^{5}$