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

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The raised number, or exponent, is the number of times the base is used as a factor.

the exponent is a negative

it can either mean the number e raised as an exponent or it can mean just simply and exponent.

A negative exponent is the reciprocal of the corresponding positive exponent. 102 = 100 10-2 = 1/100

No, there is a big difference between 2^(-4) and (-2)^4 The first is 1/16 and the second is 16. A negative exponent is the reciprocal of a positive exponent. a^b is going to be 1/ (a^(-b)), Similarly, (a^b)*(a^(-b))=1 for two reasons. First multiplying reciprocals cancels them out. Second, when you multiply the same base you add the exponents, so (a^b)*(a^(-b)) = a^0 which equals 1◄

What a number is raised to. Three (the base) to the third power = 33 = 3*3*3 The power or the exponent tells us how many times the base takes place in a repeated multiplication.

It means that there is a power, some number is the base, and 2 is the exponent.

Numbers that are raised to an exponent either increase or decrease at an extremely fast rate.

Numbers that are raised to an exponent either increase or decrease at an extremely fast rate.

I assume you mean "negative integer exponents".It means that: * It is an exponent * It is an integer (whole number) * It is negative (less than zero, i.e., with a minus sign) A negative exponent is defined as the reciprocal of the positive exponent. For example, 10 to the power -5 is the same as 1 / (10 to the power 5).

0.1 = 10^-1

It could mean the base of a number system, such as decimal is base-10, or binary is base-2, or hexidecimal is base-16. Or it can refer to when a number has an exponent, like 23, 2 is the base, and 3 is the exponent. Or ex, where e represents the base of the natural logarithm. Here is another word 'base'. This is related to the base/exponent meaning.Another meaning for base is in solid geometry, such as a cylinder has a base (the circle part).

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