Answer
No, you do not get the same answer if you do the operations in a different order.
Work Step by Step
$(1+5)^{2}-(18\div3)$
-To solve this correctly you must follow PEMDAS (Parenthesis, Exponents, Multiplication, Division, Subtraction).
1. The first step is to solve what is inside the parenthesis. $(1+5)=6$ and $(18\div3)=6$. This simplifies the equation to $6^{2}-(6)$.
2. Next, we must solve the exponents. $6^{2}=36$. This further simplifies the equation to $36-6$.
3. The final step is to subtract $36-6$, leaving us with $30$.
The correct answer to this problem is $30$.
If you do not follow the order of operations, you will get a different answer. For example, if you were to distribute the exponent before solving the parenthesis, you would get $(1+25)-(18\div3)$. This would significantly change your final answer as you would get $(1+25)-6$, leaving you with an incorrect answer of $20$. This proves that solving a problem while applying PEMDAS in a different order will leave you with an incorrect answer.
