Evaluate 2k^4*4k

$2 k^{4} \cdot 4 k$

Step 1

Rewrite using the commutative property of multiplication.

$2 \cdot 4 k^{4} k$

Step 2

Multiply $k^{4}$ by $k$ by adding the exponents.

Move $k$ .

$2 \cdot 4 (k \cdot k^{4})$

Multiply $k$ by $k^{4}$ .

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

$2 \cdot 4 (k^{1} k^{4})$

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

$2 \cdot 4 k^{1 + 4}$

Add $1$ and $4$ .

$2 \cdot 4 k^{5}$

Step 3

Multiply $2$ by $4$ .

$8 k^{5}$