# How do you evaluate #Y=-4^{2}-6\times 4+17#?

##### 1 Answer

Aug 3, 2017

#### Explanation:

Evaluate the expression using the order of operations as set out in the acronym PEMDAS

[P-parenthesis (brackets), E-exponents (powers), M-multiplication, D-division, A-addition, S-subtraction]

#"note that"-4^2=-(4)^2" and not "(-4)^2#

#rArr-4^2-6xx4+17#

#=-16-6xx4+17larrcolor(red)" exponents"#

#=-16-24+17larrcolor(red)" multiplication"#

#"now evaluate from left to right"#

#=-23#