1 plus 1 is 2, 2 divided by 2 is 1, 1 times 1 is 1.

1 2 minus 1 and 1 2.

1 times 1 is 1 minus 1 times minus 1 is 1 2 times 2 is 4.

So 1 2 divided by 1 2 is equal to 1 2 times 2 1.

So 1 minus 1 is 0, 2 minus 2 is 0, 2 minus 1 is 1, 1 negative 1 minus 1 is minus 2, and then 12 minus 8 is 4.

It's 1 times 1, I'll just write, 1 times 1 is 1, plus minus 1 times 2, so minus 2, plus 2 times 3, plus 6.

So 1 minus 0 is 1, 2 minus 0 is 2, 1 minus 1 is 0, 1 minus minus 2, that's 1 plus 2, which is 3.

Once again, we take the reciprocal of 2, and we say 1 2 and now that can be raised to the 5th power, and that equals 1 2 x 1 2 x 1 2 x 1 2 x 1 2, and that equals 1 32.

Well, we already learned that's 1 2 x 1 2 x 1 2, and that equals 1 8.

Well two times one half is just 1.

And that's the same thing as one to the one two over sixteen to the one two.

That is equal to negative 1 to the third is negative 1, minus 2 times negative 1 squared.

2 times 1 minus 3 is minus 1.

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1 squared is just 1, so minus 1.

It's going to be 1, 2, 1, 1.

I have this 2, 1, 1, 1.

It's going to be 2, 1, 1, 1.

It's 2 times 1, minus 1 times 1.

1, 1, minus 2.

2 times 2 is equal to negative 1 squared, which is just equal to 1.

2 minus 1 is just 1 I can just write x there times 3 2 minus 1 2 is 2 2.

7 P 4b 2 P 3

So times is , times AC times BD

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We take 1 2 of the minus 2, minus 1.

Let's see, 2 times 1 plus 1 times 2.

And negative 3 2, that's the same thing as negative 1 1 2.

Because f of negative 1 is 1, so it's 1 squared minus 1 that equals 1 minus 1.

So we get if I haven't made any careless mistakes minus 1, minus 1, plus 2, minus 1, 0, 1, 2, 1, minus 2.

) For example, 4 can be partitioned in five distinct ways 4 3 1 2 2 2 1 1 1 1 1 1The order dependent composition 1 3 is the same partition as 3 1, while 1 2 1 and 1 1 2 are the same partition as 2 1 1.

And then you have minus 2 divided by 2 is 1. x squared divided by x squared 1, so 2x squared divided by 2x squared is just 1.

2 times negative 1 plus 2 over negative 1 plus 1.

This 1 and this 2, that's this 1 and this 2, this 1 and this 2.

Here 0 times 1 is 0, 2 minus 2 times 1 is minus 2, and then 1 times 0 is plus 0.

So 4d to the 1 2 is the same thing as 4 to the 1 2 times d to the 1 2.

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You get 1 squared plus 1, so it's 2 minus 2.

1 over the square root of 2 squared is 1 2.

2 minus 3 and 1 4 is well, 3 and 1 4 minus 2 is 1 and 1 4, so this will be negative 1 and 1 4.

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