Finite Math Examples

$(- 5 y z^{4}) (8 y z^{2})$

Step 1

Multiply $y$ by $y$ by adding the exponents.

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Step 1.1

Move $y$ .

$- 5 (y \cdot y) z^{4} (8 z^{2})$

Step 1.2

Multiply $y$ by $y$ .

$- 5 y^{2} z^{4} (8 z^{2})$

Step 2

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

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Step 2.1

Move $z^{2}$ .

$- 5 y^{2} (z^{2} z^{4}) \cdot 8$

Step 2.2

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

$- 5 y^{2} z^{2 + 4} \cdot 8$

Step 2.3

Add $2$ and $4$ .

$- 5 y^{2} z^{6} \cdot 8$

Step 3

Multiply $8$ by $- 5$ .

$- 40 y^{2} z^{6}$