Finite Math Examples

$(2 z^{10}) (- 5 z^{6}) (z^{4})$

Step 1

Multiply $z^{10}$ by $z^{6}$ by adding the exponents.

Tap for more steps...

Step 1.1

Move $z^{6}$ .

$2 (z^{6} z^{10}) \cdot - 5 z^{4}$

Step 1.2

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

$2 z^{6 + 10} \cdot - 5 z^{4}$

Step 1.3

Add $6$ and $10$ .

$2 z^{16} \cdot - 5 z^{4}$

Step 2

Multiply $z^{16}$ by $z^{4}$ by adding the exponents.

Tap for more steps...

Step 2.1

Move $z^{4}$ .

$2 (z^{4} z^{16}) \cdot - 5$

Step 2.2

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

$2 z^{4 + 16} \cdot - 5$

Step 2.3

Add $4$ and $16$ .

$2 z^{20} \cdot - 5$

Step 3

Multiply $- 5$ by $2$ .

$- 10 z^{20}$