Algebra Examples

${(- n)}^{n + n} + n^{n - n}$ $n = 2$

Step 1

Replace the variable $n$ with $2$ in the expression.

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

Step 2

Remove parentheses.

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

Step 3

Simplify each term.

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Step 3.1

Multiply $- 1$ by $2$ .

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

Step 3.2

Add $2$ and $2$ .

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

Step 3.3

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

$16 + {(2)}^{(2) - (2)}$

Step 3.4

Multiply $- 1$ by $2$ .

$16 + 2^{2 - 2}$

Step 3.5

Subtract $2$ from $2$ .

$16 + 2^{0}$

Step 3.6

Anything raised to $0$ is $1$ .

$16 + 1$

Step 4

Add $16$ and $1$ .

$17$