First, expand the terms in parenthesis using this rule for exponents:
(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))
(-5k^color(red)(2)j^color(red)(4))^color(blue)(3)(k^color(red)(7)j^color(red)(7))^color(blue)(3) = (-5^color(blue)(3)k^(color(red)(2) xx color(blue)(3))j^(color(red)(4) xx color(blue)(3)))(k^(color(red)(7) xx color(blue)(3))j^(color(red)(7) xx color(blue)(3))) =
(-125k^6j^12)(k^21j^21)
Next, rearrange the expression grouping like terms:
-125(k^6k^21)(j^12j^21)
We can now use this rule for exponents to complete the multiplication: x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) +color(blue)(b))
-125(k^color(red)(6) xx k^color(blue)(21))(j^color(red)(12) xx j^color(blue)(21)) = -125k^(color(red)(6) + color(blue)(21))j^(color(red)(12) + color(blue)(21)) =
-125k^27j^33
