Algebra Examples

$5 x^{4} \cdot x^{9} \cdot 3 x$

Step 1

Multiply $x^{4}$ by $x^{9}$ by adding the exponents.

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Step 1.1

Move $x^{9}$ .

$5 (x^{9} x^{4}) \cdot (3 x)$

Step 1.2

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

$5 x^{9 + 4} \cdot (3 x)$

Step 1.3

Add $9$ and $4$ .

$5 x^{13} \cdot (3 x)$

Step 2

Rewrite using the commutative property of multiplication.

$5 \cdot 3 x^{13} x$

Step 3

Multiply $x^{13}$ by $x$ by adding the exponents.

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Step 3.1

Move $x$ .

$5 \cdot 3 (x \cdot x^{13})$

Step 3.2

Multiply $x$ by $x^{13}$ .

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Step 3.2.1

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

$5 \cdot 3 (x^{1} x^{13})$

Step 3.2.2

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

$5 \cdot 3 x^{1 + 13}$

Step 3.3

Add $1$ and $13$ .

$5 \cdot 3 x^{14}$

Step 4

Multiply $5$ by $3$ .

$15 x^{14}$