Simplify 7k^2(-2k)(4k^-5)^0

$7 k^{2} (- 2 k) {(4 k^{- 5})}^{0}$

Multiply $k^{2}$ by $k$ by adding the exponents.

Move $k$ .

$7 (k \cdot k^{2}) \cdot - 2 {(4 k^{- 5})}^{0}$

Multiply $k$ by $k^{2}$ .

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

$7 (k^{1} k^{2}) \cdot - 2 {(4 k^{- 5})}^{0}$

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

$7 k^{1 + 2} \cdot - 2 {(4 k^{- 5})}^{0}$

Add $1$ and $2$ .

$7 k^{3} \cdot - 2 {(4 k^{- 5})}^{0}$

Simplify $7 k^{3} \cdot - 2 {(4 k^{- 5})}^{0}$ .

$7 k^{3} \cdot - 2$

Multiply $- 2$ by $7$ .

$- 14 k^{3}$