Simplify 4k^98k^3k

$4 k^{9} \times 8 k^{3} \times k$

Multiply $k^{9}$ by $k^{3}$ by adding the exponents.

Move $k^{3}$ .

$4 (k^{3} k^{9}) \cdot 8 \cdot k$

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

$4 k^{3 + 9} \cdot 8 \cdot k$

Add $3$ and $9$ .

$4 k^{12} \cdot 8 \cdot k$

Multiply $k^{12}$ by $k$ by adding the exponents.

Move $k$ .

$4 (k \cdot k^{12}) \cdot 8$

Multiply $k$ by $k^{12}$ .

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

$4 (k^{1} k^{12}) \cdot 8$

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

$4 k^{1 + 12} \cdot 8$

Add $1$ and $12$ .

$4 k^{13} \cdot 8$

Multiply $8$ by $4$ .

$32 k^{13}$

Simplify 4k^9*8k^3*k