Basic Math Examples

$- 16 x^{4} y^{5} (- 2 x^{4} y)$

Step 1

Multiply $x^{4}$ by $x^{4}$ by adding the exponents.

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Step 1.1

Move $x^{4}$ .

$- 16 (x^{4} x^{4}) y^{5} (- 2 y)$

Step 1.2

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

$- 16 x^{4 + 4} y^{5} (- 2 y)$

Step 1.3

Add $4$ and $4$ .

$- 16 x^{8} y^{5} (- 2 y)$

Step 2

Multiply $y^{5}$ by $y$ by adding the exponents.

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Step 2.1

Move $y$ .

$- 16 x^{8} (y \cdot y^{5}) \cdot - 2$

Step 2.2

Multiply $y$ by $y^{5}$ .

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Step 2.2.1

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

$- 16 x^{8} (y^{1} y^{5}) \cdot - 2$

Step 2.2.2

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

$- 16 x^{8} y^{1 + 5} \cdot - 2$

Step 2.3

Add $1$ and $5$ .

$- 16 x^{8} y^{6} \cdot - 2$

Step 3

Multiply $- 2$ by $- 16$ .

$32 x^{8} y^{6}$