so excited to hear from another IB person. checking out your blog now 🙂

]]>I am also teaching TOK for the first time this year, and like you, I am finding it to be consuming but fulfilling. We should share stories sometime.

]]>2 to the power 3 only has meaning because we give it meaning, namely 2 times 2 times 2.

So likewise 2 to the power of -3, but the meaning to be ascribed is not quite so simple.

What is more easily accepted is 1 divided by 2 to the power of 3 ( 1/2^3 ). ( I can’t do latex or whatever).

Then we can see that it works to write 1/2^3 as 2^-3

One of the problems with exponent notation results from the original definition

2^n = 2x2x2x2x….. n times

It is more satisfactory to see it as ((1×2)x2)x2… ie start with 1 and keep multiplying by 2 the specified number of times. Then 2^0 is 1 times no 2’s at all, which is 1

Regarding 8 to the power box times 8 to the power box, 8^(1/6) times 8^(1/2) = 8^(2/3)

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