Simplify 5x^4x^93x

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

Step 1

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

Move $x^{9}$ .

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

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

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

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.

Move $x$ .

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

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

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

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

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

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

Add $1$ and $13$ .

$5 \cdot 3 x^{14}$

Step 4

Multiply $5$ by $3$ .

$15 x^{14}$

Simplify 5x^4*x^9*3x