Algebra Examples

$x y \cdot 2 x^{5} y^{3}$

Step 1

Rewrite using the commutative property of multiplication.

$2 x y (x^{5} y^{3})$

Step 2

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

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Step 2.1

Move $x^{5}$ .

$2 (x^{5} x) y \cdot y^{3}$

Step 2.2

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

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Step 2.2.1

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

$2 (x^{5} x^{1}) y \cdot y^{3}$

Step 2.2.2

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

$2 x^{5 + 1} y \cdot y^{3}$

Step 2.3

Add $5$ and $1$ .

$2 x^{6} y \cdot y^{3}$

Step 3

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

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Step 3.1

Move $y^{3}$ .

$2 x^{6} (y^{3} y)$

Step 3.2

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

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Step 3.2.1

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

$2 x^{6} (y^{3} y^{1})$

Step 3.2.2

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

$2 x^{6} y^{3 + 1}$

Step 3.3

Add $3$ and $1$ .

$2 x^{6} y^{4}$