Answer:
B. 13/5
A. 0
Explanation:
Part 1
Given the expression:
[tex]\frac{|4-5|}{9}3^3-\frac{2}{5}[/tex]We begin by evaluating the absolute value.
[tex]\begin{gathered} =\frac{|-1|}{9}3^3-\frac{2}{5} \\ =\frac{1\times3^3}{9}^{}-\frac{2}{5} \end{gathered}[/tex]We simplify further to obtain:
[tex]\begin{gathered} =\frac{27}{9}-\frac{2}{5} \\ =3-\frac{2}{5} \\ =\frac{15-2}{5} \\ =\frac{13}{5} \end{gathered}[/tex]The correct choice is B.
Part 2
Given the expression:
[tex]\frac{|8-40|}{4^3}4^2-8[/tex]We begin by evaluating the absolute value.
[tex]\begin{gathered} =\frac{|-32|}{4^3}4^2-8 \\ =\frac{32\times4^2}{4^3}^{}-8 \end{gathered}[/tex]We simplify further to obtain:
[tex]\begin{gathered} =\frac{32}{4}-8 \\ =8-8 \\ =0 \end{gathered}[/tex]The correct choice is A.