Evaluate -(-2)^0+3^1+(-4)^2-(-1)^3

$- {(- 2)}^{0} + 3^{1} + {(- 4)}^{2} - {(- 1)}^{3}$

Step 1

Simplify each term.

Anything raised to $0$ is $1$ .

$- 1 \cdot 1 + 3^{1} + {(- 4)}^{2} - {(- 1)}^{3}$

Multiply $- 1$ by $1$ .

$- 1 + 3^{1} + {(- 4)}^{2} - {(- 1)}^{3}$

Evaluate the exponent.

$- 1 + 3 + {(- 4)}^{2} - {(- 1)}^{3}$

Raise $- 4$ to the power of $2$ .

$- 1 + 3 + 16 - {(- 1)}^{3}$

Multiply $- 1$ by ${(- 1)}^{3}$ by adding the exponents.

Multiply $- 1$ by ${(- 1)}^{3}$ .

Raise $- 1$ to the power of $1$ .

$- 1 + 3 + 16 + {(- 1)}^{1} {(- 1)}^{3}$

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

$- 1 + 3 + 16 + {(- 1)}^{1 + 3}$

Add $1$ and $3$ .

$- 1 + 3 + 16 + {(- 1)}^{4}$

Raise $- 1$ to the power of $4$ .

$- 1 + 3 + 16 + 1$

Step 2

Simplify by adding numbers.

Add $- 1$ and $3$ .

$2 + 16 + 1$

Add $2$ and $16$ .

$18 + 1$

Add $18$ and $1$ .

$19$