Calculate: (-8a^3b^7c^9)/(16a^2b^{12)c^4}

Expression: $\frac{ -8{a}^{3}{b}^{7}{c}^{9} }{ 16{a}^{2}{b}^{12}{c}^{4} }$

Simplify the expression

$\frac{ -8a{b}^{7}{c}^{9} }{ 16{b}^{12}{c}^{4} }$

Simplify the expression

$\frac{ -8a{b}^{7}{c}^{5} }{ 16{b}^{12} }$

Cancel out the common factor $8$

$\frac{ -a{b}^{7}{c}^{5} }{ 2{b}^{12} }$

Simplify the expression

$\frac{ -a{c}^{5} }{ 2{b}^{5} }$

Use $\frac{ -a }{ b }=\frac{ a }{ -b }=-\frac{ a }{ b }$ to rewrite the fraction

$-\frac{ a{c}^{5} }{ 2{b}^{5} }$