Step by step
The question
Question: work out 3 + 2 × (7 − 4)².
3 + 2 × (7 − 4)2
1 Brackets first
Brackets come first.
Order: ( ) → x² √ → × ÷ → + −
7 minus 4 is 3.
= 3 + 2 × 32
2 Powers
Powers come before plus and times.
3² means 3 times 3.
32 = 3 × 3 = 9
That is 9.
= 3 + 2 × 9
3 Times and divide
Times comes before plus.
2 times 9 is 18.
= 3 + 18
4 Plus and minus
3 plus 18 is 21.
= 21
So the answer is 21.
Let's look back.
First: brackets first.
Then: powers.
Then: times and divide.
Last: plus and minus.
Answer
= 21