Question

2. Determine if the following expressions are equivalent by first finding the value of eachexpression (show your work). State which (if any) are equivalent expressions andexplain how you know.a. 22.32 - 2 - 1b. 22. (32 – 23)-1c. (2.3)² – 2² - 1

Answer 1

SOLUTION

We will be evaluating each expression using PEMDAS

The first expression is

$\begin{gathered} 2^2\times3^2-2^4-1 \\ 4\times9-16-1 \\ 36-16-1=19 \end{gathered}$$\begin{gathered} \text{the second expression is } \\ 2^2\times(3^2-2^3)-1 \\ \end{gathered}$

Evaluate the parenthesis

$\begin{gathered} 2^2\times(9-8)-1 \\ 4\times1-1 \\ 4-1=3 \end{gathered}$

The third expression is

$undefined$