Algebra Examples

$(6 k^{4}) (- k^{2})$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Rewrite using the commutative property of multiplication.

$6 \cdot - 1 k^{4} k^{2}$

Step 3

Multiply $k^{4}$ by $k^{2}$ by adding the exponents.

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Step 3.1

Move $k^{2}$ .

$6 \cdot - 1 (k^{2} k^{4})$

Step 3.2

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

$6 \cdot - 1 k^{2 + 4}$

Step 3.3

Add $2$ and $4$ .

$6 \cdot - 1 k^{6}$

Step 4

Multiply $6$ by $- 1$ .

$- 6 k^{6}$