Finite Math Examples

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

Step 1

Remove unnecessary parentheses.

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

Step 2

Combine exponents.

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Step 2.1

Multiply $x^{2}$ by $x^{3}$ by adding the exponents.

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Step 2.1.1

Move $x^{3}$ .

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

Step 2.1.2

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

$5 v^{5} x^{3 + 2} \cdot 3 v$

Step 2.1.3

Add $3$ and $2$ .

$5 v^{5} x^{5} \cdot 3 v$

Step 2.2

Multiply $3$ by $5$ .

$15 v^{5} x^{5} v$

Step 2.3

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

$15 (v^{1} v^{5}) x^{5}$

Step 2.4

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

$15 v^{1 + 5} x^{5}$

Step 2.5

Add $1$ and $5$ .

$15 v^{6} x^{5}$