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## 6th grade

### Unit 4: Lesson 5

More on order of operations- Order of operations examples: exponents
- Comparing exponent expressions
- Order of operations
- Order of operations example: fractions and exponents
- Order of operations with fractions and exponents
- Order of operations review
- Exponents and order of operations FAQ

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# Order of operations examples: exponents

Exponents are near the top of the food chain when it comes to order of operations. Let's do some examples together. Created by Sal Khan.

## Want to join the conversation?

- Having trouble trying to solve this

7+8(15-9) exponent of 2(8 votes)- 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 :)(3 votes)

- Would like more examples like these(12 votes)
- You can call this Please Escape My Dead Anaconda Snake, this is a very funny way. Its my favorite one.(10 votes)
- can you call this hi sisters, this is a very funny way. Its my favorite one.(0 votes)

- I have a question you see the 1+5*81/9,what do we do with the 81?(4 votes)
- I dont think he is going to answer you, because the video is kinda old.(3 votes)

- I didin't learn about exponents yet so that makes doing the exercises much difficult does anyone where i could learn that(3 votes)
- I got taught PEMDAS[parentheses,Exponents,Mutiply,or Divide Add or Subtract is that the right way or cn you do it that way(3 votes)
- There are many different ways of learning it. PEMDAS works fine.(4 votes)

- why is the distributive property not used for the ones with exponents and parenthesis?(5 votes)
- 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.(0 votes)

- what is a exponent?(3 votes)
- Yes, just like Ian said. Khan Academy actually has a course on exponents, go to the left bar, where it says: Math > Pre-Algebra > etc... Click "Exponents and Order of Operations" and then the "Exponents" course will appear at the top and you can start learning!

You know what, just follow this link!

https://www.khanacademy.org/math/pre-algebra/xb4832e56:exponents-intro-and-order-of-operations#xb4832e56:exponents(2 votes)

- Does a negative plus a negative equal a positive?

I think I know the answer, I just need a refresher.(3 votes)- 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.(1 vote)

- i don't get it so what am i doing rong i just dont get itcan you please help(3 votes)

## Video transcript

So I have six
different expressions here, and what I want you
to do is pause this video and try to calculate the value
of each of these expressions. I'm assuming you've
given a go at it. Now let's work through them. So when we see
something like this, we have to remember our
order of operations. We have 2 times
3 squared, and we have to remember that the
first thing we would need to think about are
the parentheses. I'll just write paren for short. Then we worry about exponents. Then we will worry about
multiplication and division, and actually let me
write it this way. We worry about
multiplication and division. And then we worry about
addition and subtraction. So in this expression
right over here, there are no parentheses, so
we do the exponents first. So we calculate
what 3 squared is. 3 times 3 is 9, so
this becomes 2 times 9, which is equal to 18. Now let's look at this one,
and this one is interesting, because they have-- it looks
like the same expression, but now there are parentheses. And because of
these parentheses, we're going to do
the multiplication before we take the exponent. So 2 times 3 is going
to be 6, and we're going to take that
to the second power. So that's 6 times 6,
which is equal to 36. Now let's think about
this one right over here. Once again, we want to do our
multiplication and our division first. So we have a division
right over here. 81/9 is the same thing
as 81 divided by 9, and that's going to be 9. And then we have-- so it
becomes 1 plus 5 times 9. Now we want to do the
multiplication before we do the addition, so
we're going to do our 5 times 9, which is 45. So this becomes 1 plus 45,
which of course is equal to 46. Now let's tackle this
one right over here. So, we would want to
do the exponents first. So, 1 squared, well
that's just going-- let me do this in
a different color. 1 squared is just
going to be equal to 1, so that's just going
to be equal to 1. And so you have
2 times 4 plus 1. What should you do? Should you add first or do
the multiplication first? Well multiplication takes
precedence over addition, so you're going to do
the 2 times 4 first. 2 times 4 is 8, so
you're going to have 8 plus 1, which of
course is equal to 9. Now you have a very
similar expression, but you have parentheses. So that's going to force you
to do what's in the parentheses before you take the exponent. But within the parentheses
we have multiplication and addition, and
we have to remember that we do the
multiplication first. So we're going to
do the 2 times 4 first, so that's going to be
8 plus 1 to the second power. 8 plus 1 is 9, so that's
9 to the second power. 9 squared is the same thing as
9 times 9, which is equal to 81. Now we have one
more right over here that looks very
similar to this one, except, once again, we
have parentheses that's making us do the addition first. Without parentheses, we
would do the multiplication and the division first. But here, we see
that 1 plus 5 is 6, and then we have this
81/9, which is 9. So this simplifies to 6 times 9,
which of course is equal to 54.