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## Arithmetic

### Course: Arithmetic>Unit 17

Lesson 6: Order of operations with exponents

# Order of operations examples: exponents

The order of operations (PEMDAS) is essential for solving math expressions correctly. By following Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction, you ensure accurate results. Understanding the impact of parentheses on calculations helps avoid common mistakes and enhances problem-solving skills. Created by Sal Khan.

## Want to join the conversation?

• I have a question. At , Sal says we have multiplication and division. He proceeds to do the division first. 81 / 9 = 9. Shouldn't you do the multiplication first? 5 * 81/9? Working left to right? Because there are no Parentheses and there are no exponents. In the first video "Intro to order of operations" Sal states that you should work left to right when mult./div. and add/sub.?
• With PEMDAS multiplication and division are of equal importance in order of operations. If you multiply by the fraction 81/9 you would get the same answer. The reason Sal divided first was because it made the problem easier to solve, because 5 times 9 is easier than 5 times 81/9. If you don't believe me try it on your calculator and you will get the same answer either way.
• Having trouble trying to solve this
7+8(15-9) exponent of 2
• 7+8(15-9) with the exponent of 2 right? first follow BEDMAS/PEMDAS or whatever order of operations you use, first comes brackets/ parentheses so you solve 15-9 which is 6 so it should be 7+8*6 with still the exponent of 2 oh and btw its multiplication because if there is no operation there and there is a bracket beside the number that is basically the multiplication sign! anyways moving on exponent goes next so since 6 with the exponent of 2 is 36, you should write 7+8*36 then you simple multiply 8 * 36 that gets you 288 so 7+ 288 will equal to 295. hopefully that helped you if not srry im not that good at explaining things XD but the answer should be 295 :)
• Would like more examples like these
• How can I love and hate math at the same time!!
• sounds like a you problem.
• I made up this one Please Eat My Delicious Artichoke Soup
• I always find it easier to remember PEDMAS as an acronym. I learned "Please Excuse My Dear Aunt Sally." I thought everyone learned it this way but I guess not. I hope it helps!! :)
• Indeed!
In addition to this I'd like to break down what is the meaning of the acronym, PEMDAS for those who may be confused.

P for Parenthesis
E for Exponents
M for Multiplication
D for Division
S for Subtraction
• You can call this Please Escape My Dead Anaconda Snake, this is a very funny way. Its my favorite one.
• you mean play escape the dyinng anaconda snake
• I didin't learn about exponents yet so that makes doing the exercises much difficult does anyone where i could learn that
• Does a negative plus a negative equal a positive?
I think I know the answer, I just need a refresher.
• No. Say you are 4 dollars in debt, but then suddenly you go for more dollars into debt. Then you would not have no debt-instead you would be in 8 dollars of debt. If you are doing multiplication, however, then yes, they would turn into a positive.
• why is the distributive property not used for the ones with exponents and parenthesis?
• Because you'd get the wrong answer then. You use the distributive property when you have a number to multiply inside the parentheses, not an exponent.