Basic Math Examples

$(- 5 z y^{4}) (- 3 z^{2 y^{3}})$

Step 1

Multiply $z$ by $z^{2 y^{3}}$ by adding the exponents.

Tap for more steps...

Step 1.1

Move $z^{2 y^{3}}$ .

$- 5 (z^{2 y^{3}} z) y^{4} \cdot - 3$

Step 1.2

Multiply $z^{2 y^{3}}$ by $z$ .

Tap for more steps...

Step 1.2.1

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

$- 5 (z^{2 y^{3}} z^{1}) y^{4} \cdot - 3$

Step 1.2.2

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

$- 5 z^{2 y^{3} + 1} y^{4} \cdot - 3$

Step 2

Multiply $- 3$ by $- 5$ .

$15 z^{2 y^{3} + 1} y^{4}$

Step 3

Reorder factors in $15 z^{2 y^{3} + 1} y^{4}$ .

$15 y^{4} z^{2 y^{3} + 1}$