Basic Math Examples

$- 4 k \cdot \frac{9 k^{12}}{4}$

Step 1

Cancel the common factor of $4$ .

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Step 1.1

Factor $4$ out of $- 4 k$ .

$4 (- k) \cdot \frac{9 k^{12}}{4}$

Step 1.2

Cancel the common factor.

$4 (- k) \cdot \frac{9 k^{12}}{4}$

Step 1.3

Rewrite the expression.

$- k \cdot (9 k^{12})$

Step 2

Multiply $9$ by $- 1$ .

$- 9 k \cdot k^{12}$

Step 3

Multiply $k$ by $k^{12}$ by adding the exponents.

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Step 3.1

Move $k^{12}$ .

$- 9 (k^{12} k)$

Step 3.2

Multiply $k^{12}$ by $k$ .

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Step 3.2.1

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

$- 9 (k^{12} k^{1})$

Step 3.2.2

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

$- 9 k^{12 + 1}$

Step 3.3

Add $12$ and $1$ .

$- 9 k^{13}$