Simplify 3^0-4x^0+(-2x^2)^0

$3^{0} - 4 x^{0} + {(- 2 x^{2})}^{0}$

Simplify each term.

Anything raised to $0$ is $1$ .

$1 - 4 x^{0} + {(- 2 x^{2})}^{0}$

Anything raised to $0$ is $1$ .

$1 - 4 \cdot 1 + {(- 2 x^{2})}^{0}$

Multiply $- 4$ by $1$ .

$1 - 4 + {(- 2 x^{2})}^{0}$

Apply the product rule to $- 2 x^{2}$ .

$1 - 4 + {(- 2)}^{0} {(x^{2})}^{0}$

Anything raised to $0$ is $1$ .

$1 - 4 + 1 {(x^{2})}^{0}$

Multiply ${(x^{2})}^{0}$ by $1$ .

$1 - 4 + {(x^{2})}^{0}$

Multiply the exponents in ${(x^{2})}^{0}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$1 - 4 + x^{2 \cdot 0}$

Multiply $2$ by $0$ .

$1 - 4 + x^{0}$

Anything raised to $0$ is $1$ .

$1 - 4 + 1$

Simplify by adding and subtracting.

Subtract $4$ from $1$ .

$- 3 + 1$

Add $- 3$ and $1$ .

$- 2$