Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Anything raised to $0$ is $1$ .

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

Step 1.2

Evaluate the exponent.

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

Step 1.3

Multiply $- 1$ by $2$ .

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

Step 1.4

Raise $- 3$ to the power of $2$ .

$1 - 2 + 9 + {(- 2)}^{3}$

Step 1.5

Raise $- 2$ to the power of $3$ .

$1 - 2 + 9 - 8$

$1 - 2 + 9 - 8$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $2$ from $1$ .

$- 1 + 9 - 8$

Step 2.2

Add $- 1$ and $9$ .

$8 - 8$

Step 2.3

Subtract $8$ from $8$ .

$0$

$0$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$