Question

I NEED help with any of these questions that aren't checked off please Evaluate:1. |4-5|/9 x 3³-2/52. |8-40|/4³ x 4²-8

Answer 1

B. 13/5

A. 0

Step-by-step explanation:

Part 1

Given the expression:

`(|4-5|)/(9)3^3-(2)/(5)`

We begin by evaluating the absolute value.

`\begin{gathered} =(|-1|)/(9)3^3-(2)/(5) \\ =(1*3^3)/(9)^{}-(2)/(5) \end{gathered}`

We simplify further to obtain:

`\begin{gathered} =(27)/(9)-(2)/(5) \\ =3-(2)/(5) \\ =(15-2)/(5) \\ =(13)/(5) \end{gathered}`

The correct choice is B.

Part 2

Given the expression:

`(|8-40|)/(4^3)4^2-8`

We begin by evaluating the absolute value.

`\begin{gathered} =(|-32|)/(4^3)4^2-8 \\ =(32*4^2)/(4^3)^{}-8 \end{gathered}`

We simplify further to obtain:

`\begin{gathered} =(32)/(4)-8 \\ =8-8 \\ =0 \end{gathered}`

The correct choice is A.