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

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

Step 1

Simplify each term.

Anything raised to $0$ is $1$ .

$- 2 \cdot 1 + {(2 x^{3})}^{0}$

Multiply $- 2$ by $1$ .

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

Apply the product rule to $2 x^{3}$ .

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

Anything raised to $0$ is $1$ .

$- 2 + 1 {(x^{3})}^{0}$

Multiply ${(x^{3})}^{0}$ by $1$ .

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

Multiply the exponents in ${(x^{3})}^{0}$ .

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

$- 2 + x^{3 \cdot 0}$

Multiply $3$ by $0$ .

$- 2 + x^{0}$

Anything raised to $0$ is $1$ .

$- 2 + 1$

Step 2

Add $- 2$ and $1$ .

$- 1$