Simplify ( 12k )^-2 (-k)^3.

( 12k )^-2 (-k)^3 = (2k)^2 (-k)^3 = 4k^2 (-k^3) = -4k^5.

jmc

algebra intermediate

Problem

Simplify

(\frac{1}{2 k})^{- 2} \cdot (- k)^{3}

Solution

(\frac{1}{2 k})^{- 2} \cdot (- k)^{3} = (2 k)^{2} \cdot (- k)^{3} = 4 k^{2} \cdot (- k^{3}) = - 4 k^{5}

Final answer

-4k^5