$\frac{ 7+|-8-25| }{ {\left( 1-4 \right)}^{3}+17 }$
Calculate the difference$\frac{ 7+|-8-25| }{ {\left( -3 \right)}^{3}+17 }$
Calculate the difference$\frac{ 7+|-33| }{ {\left( -3 \right)}^{3}+17 }$
Evaluate the power$\frac{ 7+|-33| }{ -27+17 }$
The absolute value of any number is always positive$\frac{ 7+33 }{ -27+17 }$
Calculate the sum$\frac{ 7+33 }{ -10 }$
Add the numbers$\frac{ 40 }{ -10 }$
Cancel out the common factor $-10$$-4$