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What is 3 riased to the -1?

Updated: 10/17/2024
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14y ago

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Lorna O'Reilly

Lvl 10
3y ago
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14y ago

3-1 = 1/3

The law of indices says that (na)(nb) = na+b.

Consider 33 x 3-2. By the law of indices:

33 x 3-2 = 33-2 = 31 = 3

So what is 3-2?

33 x 3-2 = 33 x ? = 27 x ? = 3

? = 3/27 = 1/9 = 1/(32)

So the negative power of a number is the reciprocal of the positive power of that number.

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Q: What is 3 riased to the -1?
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