Basic Math Examples

$2 n \cdot (2 n^{3}) \cdot n^{- 3}$

Step 1

Multiply $n$ by $n^{3}$ by adding the exponents.

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Step 1.1

Move $n^{3}$ .

$2 (n^{3} n) \cdot 2 \cdot n^{- 3}$

Step 1.2

Multiply $n^{3}$ by $n$ .

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Step 1.2.1

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

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

Step 1.2.2

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

$2 n^{3 + 1} \cdot 2 \cdot n^{- 3}$

Step 1.3

Add $3$ and $1$ .

$2 n^{4} \cdot 2 \cdot n^{- 3}$

Step 2

Multiply $n^{4}$ by $n^{- 3}$ by adding the exponents.

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Step 2.1

Move $n^{- 3}$ .

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

Step 2.2

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

$2 n^{- 3 + 4} \cdot 2$

Step 2.3

Add $- 3$ and $4$ .

$2 n^{1} \cdot 2$

Step 3

Simplify $2 n^{1} \cdot 2$ .

$2 n \cdot 2$

Step 4

Multiply $2$ by $2$ .

$4 n$