Answer:
The order in which you evaluated the expression was a bit incorrect but the outcome either way was 78. In some cases if you evaluate the expression incorrectly or not in order will result in you getting the wrong answer. If you want to see how to evaluate it correctly just look below.
Explanation:
PEMDAS stands for
Parenthesis
Exponents
Multiplication and Division ( left to right )
Addition and Subtraction ( left to right )
And it basically tells us the order in which you are suppose to evaluate a mathematical expression.
It appears the expression you are given is 4² + ( 1 × 5 + 7² ) + 8
First we would do the operation inside of the parenthesis
so we have ( 1 × 5 + 7² )
Exponents come before multiplying and addition so first evaluate the exponent, 7² = 49
we now have ( 1 × 5 + 49 )
we next do the multiplication
( 5 + 49 )
Finally we do the addition
5 + 49 = 54.
We then replace the expression ( 1 × 5 + 7² ) with 54 as we just evaluated everything in the parenthesis
we get 4² + 54 + 8
So we just did the parenthesis and next is exponents so lets evaluate the exponents, 4² = 16
16 + 54 + 8
Next in PEMDAS is multiplication and division. There is none so we go to the next step.
We now do the addition and subtraction. ( going left to right )
16 + 54 + 8
first add 16 and 54
70 + 8
finally add 70 and 8
= 78
Notes:
For parenthesis you evaluate everything inside of the parenthesis before you remove the parenthesis
For multiplcation and division, you must evaluate in order going left to right, not doing so can result in a wrong answer.