Algebra Examples

$x^{2} y^{5} (- 8 x^{4} y^{3})$

Step 1

Rewrite using the commutative property of multiplication.

$- 8 x^{2} y^{5} (x^{4} y^{3})$

Step 2

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

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Step 2.1

Move $x^{4}$ .

$- 8 (x^{4} x^{2}) y^{5} y^{3}$

Step 2.2

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

$- 8 x^{4 + 2} y^{5} y^{3}$

Step 2.3

Add $4$ and $2$ .

$- 8 x^{6} y^{5} y^{3}$

Step 3

Multiply $y^{5}$ by $y^{3}$ by adding the exponents.

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Step 3.1

Move $y^{3}$ .

$- 8 x^{6} (y^{3} y^{5})$

Step 3.2

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

$- 8 x^{6} y^{3 + 5}$

Step 3.3

Add $3$ and $5$ .

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