1
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2
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Write 6 times 6 times 6 times 6 times 6 times 6 times 6

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times 6 in exponential notation.

4
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So what's going on over here?

5
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Well, we have 6 multiplied by itself how many times?

6
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Let's see, that's 6 times 1, then 6 times 2 is that.

7
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That's 6 times-- well, it's not 6 times 2.

8
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It's 6 times itself two times.

9
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Remember, 6 times itself two times would be 36.

10
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6 times 2 would only be 12.

11
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So we have one 6, two 6, three 6, four 6, five 6's, six 6's,

12
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seven 6's, eight 6's.

13
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So we're multiplying 6 by itself eight times.

14
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To write this in exponential notation, we would say that

15
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this is equal to 6 to the eighth power, which is

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literally equal to 6 times 6 times 6 times 6 times 6 times

17
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6 times 6 times 6.

18
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Now, I want to make it very clear this is NOT, this is

19
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NOT, this is NOT equal to 6 times 8.

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21
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6 times 8 will only be 48.

22
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6 to the eighth power is a super huge number.

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6 times 6 is 36, and you're going to multiply that times

24
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6, which is what?

25
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That's like 36 times-- that's what?

26
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216, and you keep multiplying it by 6, you get some huge

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number here.

28
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This number right here.

29
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It's worthwhile to point out this number is huge.

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31
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This number right here, not so huge.

32
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It is not huge.

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So don't get confused.

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If you see 6 to the eighth power, it's 6 times itself

35
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eight times, not 6 times 8.

36
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