Simplify -x^5+6x^4+2x^5-6x^3+x^0-1

$- x^{5} + 6 x^{4} + 2 x^{5} - 6 x^{3} + x^{0} - 1$

Anything raised to $0$ is $1$ .

$- x^{5} + 6 x^{4} + 2 x^{5} - 6 x^{3} + 1 - 1$

Combine the opposite terms in $- x^{5} + 6 x^{4} + 2 x^{5} - 6 x^{3} + 1 - 1$ .

Subtract $1$ from $1$ .

$- x^{5} + 6 x^{4} + 2 x^{5} - 6 x^{3} + 0$

Add $- x^{5} + 6 x^{4} + 2 x^{5} - 6 x^{3}$ and $0$ .

$- x^{5} + 6 x^{4} + 2 x^{5} - 6 x^{3}$

Add $- x^{5}$ and $2 x^{5}$ .

$x^{5} + 6 x^{4} - 6 x^{3}$