Finite Math Examples

$7 x^{7} \cdot (2 u) \cdot (2 u^{2} x^{2})$

Step 1

Multiply $x^{7}$ by $x^{2}$ by adding the exponents.

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Step 1.1

Move $x^{2}$ .

$7 (x^{2} x^{7}) \cdot (2 u) \cdot (2 u^{2})$

Step 1.2

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

$7 x^{2 + 7} \cdot (2 u) \cdot (2 u^{2})$

Step 1.3

Add $2$ and $7$ .

$7 x^{9} \cdot (2 u) \cdot (2 u^{2})$

Step 2

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

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Step 2.1

Move $u^{2}$ .

$7 x^{9} \cdot (2 (u^{2} u)) \cdot 2$

Step 2.2

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

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Step 2.2.1

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

$7 x^{9} \cdot (2 (u^{2} u^{1})) \cdot 2$

Step 2.2.2

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

$7 x^{9} \cdot (2 u^{2 + 1}) \cdot 2$

Step 2.3

Add $2$ and $1$ .

$7 x^{9} \cdot (2 u^{3}) \cdot 2$

Step 3

Rewrite using the commutative property of multiplication.

$7 \cdot 2 x^{9} u^{3} \cdot 2$

Step 4

Multiply $7$ by $2$ .

$14 x^{9} u^{3} \cdot 2$

Step 5

Multiply $2$ by $14$ .

$28 x^{9} u^{3}$