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In this case, a and b are numbers, but we have not been told which numbers they are. Sometimes it is useful to talk about numbers in general. Raising a to the power of b means that the number a gets multiplied by itself, a number of times that is specified by b. So for example, if a is 3 and b is 5, then 3 to the fifth power is 3 x 3 x 3 x 3 x 3. If we do the multiplications, we would wind up with 243.

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โˆ™ 2012-07-27 19:00:21
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Q: What does a raised to the power of b mean?
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What does 10 to the negative 1 equal?

10-1 = 1/10 A number raised to a negative power is equal to the reciprocal of the number raised to the power. So a-b = (1/a)b = 1/ab

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

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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