Basic Math Examples

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

Step 1

One to any power is one.

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

Step 2

Multiply $- 1$ by ${(- 1)}^{2 n + 1}$ by adding the exponents.

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Step 2.1

Multiply $- 1$ by ${(- 1)}^{2 n + 1}$ .

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Step 2.1.1

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

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

Step 2.1.2

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

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

Step 2.2

Add $1$ and $1$ .

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

Step 3

Multiply $- 1$ by ${(- 1)}^{2 n + 3}$ by adding the exponents.

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Step 3.1

Multiply $- 1$ by ${(- 1)}^{2 n + 3}$ .

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Step 3.1.1

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

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

Step 3.1.2

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

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

Step 3.2

Add $1$ and $3$ .

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