Pre-Algebra Examples

$(6 z^{11}) (- 4 z^{8}) (z^{2})$

Step 1

Multiply $z^{11}$ by $z^{8}$ by adding the exponents.

Tap for more steps...

Step 1.1

Move $z^{8}$ .

$6 (z^{8} z^{11}) \cdot - 4 z^{2}$

Step 1.2

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

$6 z^{8 + 11} \cdot - 4 z^{2}$

Step 1.3

Add $8$ and $11$ .

$6 z^{19} \cdot - 4 z^{2}$

Step 2

Multiply $z^{19}$ by $z^{2}$ by adding the exponents.

Tap for more steps...

Step 2.1

Move $z^{2}$ .

$6 (z^{2} z^{19}) \cdot - 4$

Step 2.2

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

$6 z^{2 + 19} \cdot - 4$

Step 2.3

Add $2$ and $19$ .

$6 z^{21} \cdot - 4$

Step 3

Multiply $- 4$ by $6$ .

$- 24 z^{21}$