Given:
The expression is
[tex](5-2)^2+2^3\times 4[/tex]
Emily simplified this expression and steps are given.
To find:
The first mistake of Emily.
Solution:
We have,
[tex](5-2)^2+2^3\times 4[/tex]
Step 1: [tex](3)^2+2^3\times 4[/tex]
Step 2: [tex]9+2^3\times 4[/tex]
Step 3: [tex]9+8\times 4[/tex]
Step 4: [tex]9+32[/tex]
Step 5: [tex]41[/tex]
So, she made a mistake in her third step.
Therefore, the correct option is C.