Algebra Examples

$10 x^{2} \cdot 7 x y^{2}$

Step 1

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

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Step 1.1

Move $x$ .

$10 (x \cdot x^{2}) \cdot (7 y^{2})$

Step 1.2

Multiply $x$ by $x^{2}$ .

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Step 1.2.1

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

$10 (x^{1} x^{2}) \cdot (7 y^{2})$

Step 1.2.2

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

$10 x^{1 + 2} \cdot (7 y^{2})$

Step 1.3

Add $1$ and $2$ .

$10 x^{3} \cdot (7 y^{2})$

Step 2

Rewrite using the commutative property of multiplication.

$10 \cdot 7 x^{3} y^{2}$

Step 3

Multiply $10$ by $7$ .

$70 x^{3} y^{2}$