The problem we are stuck on is as follows. It asks us to explain why
2^-3 is equal to 1/2^3. In looking at it we feel the answer should be
1/8. Could you give us your thoughts on this
You are correct, but so is the book. 2<sup>-3</sup> = 2<sup>(3)(-1)</sup> = (2<sup>3</sup>)<sup>-1</sup> = (8)<sup>-1</sup> = \(\displaystyle \frac{1}{8}\) = \(\displaystyle \frac{1}{2^3}\).
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