Question
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Tutor-Verified Answer
Answer
The result of the expression
is
.
Solution
Let’s solve the expression
step by step, following the order of operations (parentheses, exponents, multiplication and division, addition and subtraction).
-
Calculate the expression inside the parentheses:
-
Substitute back into the expression:
-
Calculate the exponent:
-
Substitute back into the expression:
-
Calculate the multiplication:
-
Substitute back into the expression:
-
Now perform the addition and subtraction from left to right:
- First,
- Then,
- Finally,
- First,
Thus, the final result of the expression
is
.
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Extra Insights
To solve
, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
-
Solve inside the parentheses:So the expression now becomes:
-
Calculate the exponent:Now the expression is:
-
Next, perform the multiplication:Now the expression is:
-
Now, perform the addition and subtraction from left to right:Then, substituting back we have:
-
Continuing:Now we have:
-
Finally:
Thus, the final answer is: