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For example, 10 to the power -2 is defined as being the same as 1 divide by (10 to the power 2).Defining it this way ensures that many common rules for exponents continue being valid for all numbers, positive or negative - for example, (x to the power a) times (x to the power b) = x to the power (a + b).

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It is the same as the reciprocal of the base raised to the corresponding positive exponent.

b^-x = 1/(b^x) = (1/b)^x

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Q: What does it mean when a base is raised to a negative exponent?
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