Basic Math Examples

$2 n^{6} \cdot (4 n^{- 6}) \cdot (7 n^{- 2})$

Step 1

Multiply $n^{6}$ by $n^{- 6}$ by adding the exponents.

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Step 1.1

Move $n^{- 6}$ .

$2 (n^{- 6} n^{6}) \cdot 4 \cdot (7 n^{- 2})$

Step 1.2

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

$2 n^{- 6 + 6} \cdot 4 \cdot (7 n^{- 2})$

Step 1.3

Add $- 6$ and $6$ .

$2 n^{0} \cdot 4 \cdot (7 n^{- 2})$

Step 2

Simplify $2 n^{0} \cdot 4 \cdot (7 n^{- 2})$ .

$2 \cdot 4 \cdot (7 n^{- 2})$

Step 3

Multiply $2$ by $4$ .

$8 \cdot (7 n^{- 2})$

Step 4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$8 \cdot (7 \frac{1}{n^{2}})$

Step 5

Combine $7$ and $\frac{1}{n^{2}}$ .

$8 \cdot \frac{7}{n^{2}}$

Step 6

Multiply $8 \frac{7}{n^{2}}$ .

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Step 6.1

Combine $8$ and $\frac{7}{n^{2}}$ .

$\frac{8 \cdot 7}{n^{2}}$

Step 6.2

Multiply $8$ by $7$ .

$\frac{56}{n^{2}}$