Solve for: ((-16a^3b^4)/(8a^6b^{-4)})^3

Expression: ${\left( \frac{ -16{a}^{3}{b}^{4} }{ 8{a}^{6}{b}^{-4} } \right)}^{3}$

Cancel out the common factor $8$

${\left( \frac{ -2{a}^{3}{b}^{4} }{ {a}^{6}{b}^{-4} } \right)}^{3}$

Simplify the expression

${\left( \frac{ -2{a}^{3}{b}^{8} }{ {a}^{6} } \right)}^{3}$

Simplify the expression

${\left( \frac{ -2{b}^{8} }{ {a}^{3} } \right)}^{3}$

To raise a fraction to a power, raise the numerator and denominator to that power

$-\frac{ 8{b}^{24} }{ {a}^{9} }$