Answer
$-1$
Work Step by Step
RECALL:
The order of operations follow the PEMDAS rule:
First Priority: P - parentheses or grouping symbols
Second Priority: E - exponents
Third Priority: M/D - multiplication or division, whichever comes first from the left
Fourth Priority: A/S - addition or subtraction, whichever comes first from the left
Using the PEMDAS rule above gives:
Perform the ones inside the parentheses first to obtain:
$$=\dfrac{5-|2-4\cdot 4|+(-5)^2\div 5^2}{-9 \div 3(0) -(-8)}$$
Simplify within the absolute value by performing the multiplication first followed by subtraction to obtain:
$$=\dfrac{5-|2-16|+(-5)^2\div 5^2}{-9 \div 3(0) -(-8)}
\\=\dfrac{5-|-14|+(-5)^2\div 5^2}{-9 \div 3(0) -(-8)}
\\=\dfrac{5-14+(-5)^2\div 5^2}{-9 \div 3(0) -(-8)}$$
Apply the exponents to obtain:
$$=\dfrac{5-14+25 \div 25}{-9 \div 3(0) -(-8)}$$
Perform the divisions to obtain:
$$=\dfrac{5-14+1}{-3(0)-(-8)}$$
Perform the multiplication in the denominator to obtain:
$$=\dfrac{5-14+1}{0-(-8)}$$
Do the subtractions to obtain:
$$=\dfrac{-9+1}{0+8}$$
Simplify the numerator and the denominator to obtain:
$$=\dfrac{-8}{8}$$
Divide $-8$ by $8$. Note that the quotient of two numbers with different signs is negative:
$$=-1$$
