Simplify -4k^-3*(6k^4)

$- 4 k^{- 3} \cdot (6 k^{4})$

Step 1

Rewrite using the commutative property of multiplication.

$- 4 \cdot 6 k^{- 3} k^{4}$

Step 2

Multiply $k^{- 3}$ by $k^{4}$ by adding the exponents.

Move $k^{4}$ .

$- 4 \cdot 6 (k^{4} k^{- 3})$

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

$- 4 \cdot 6 k^{4 - 3}$

Subtract $3$ from $4$ .

$- 4 \cdot 6 k^{1}$

Step 3

Simplify $- 4 \cdot 6 k^{1}$ .

$- 4 \cdot 6 k$

Step 4

Multiply $- 4$ by $6$ .

$- 24 k$