Math and Arithmetic

# When is the exponent negative?

When you subtract it from a bigger exponent of another number by dividing two numbers with exponents.

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## Related Questions

A number to a negative exponent is the inverse of the number to the positive exponent. That is, x-a = 1/xa

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

A negative exponent implies a reciprocal.Thus x^-a = 1/x^a or, equivalently, (1/x)^a

Example: (4x)-2 The answer to this would be 1/ 16x2. Multiply it out as if the negative exponent was not there ((4x)2), then that will be the denominator of the fraction. The numerator is one.

If you have a negative exponent, then put 1/the number multiplied by itself the number of times of the exponent. For example: 3-2=1/(3x3)=1/9

A negative exponent indicates division by the base. For example: 8 -3 = 1/(83)= 1/672

Because a number to the exponent 0 = 1 and any lesser exponent decreases the value.

it would be a negative multiplied by a negative and your answer should end up positive.

This is a procedure used to help people who are new to negative exponents. A negative exponent, when moved to the other side of the fraction, becomes a positive exponent and beginners are more comfortable with working with positive fractions.

When you have a negative exponent on, say, 4, it will be written 4^-2 You basically take the reciprocal of it and change the exponent to a positive one. 4^-2 would be 1/4^2

When you have a number raised to a negative exponent, you move to the left rather than the right in decimal places. E.g. 103 = 1000 10-3 = 0.001 More specifically, when you have a negative exponent, you are taking the reciprocal of what the positive exponent would give. 24 = 16, but 2-4=(1/16) &#9632;

Find the reciprocal of the positive exponent. Thus, x-a = 1/xa

The exponent will be negative when the absolute value of the number is between 0 and 1. For example, 1X10-1 is 0.1.

The zero exponent rule basically says that any base with an exponent of zero is equal to one. For example: x^0 = 1A negative exponent is equivalent to 1 over a positive exponent.x^1 = x x^0 = 1x^-1 = 1/x

It is the same as 1/34 . We move an exponent to the denominator and we change the exponent from positive to negative. Now 34 is 81 so the answer is 1/81 meters.If the exponent in the denominator is negative, we can move it up to the numerator and change it to a positive.

A number with a negative exponent should be treated as the reciprocal of that same number with the analogous positive exponent. For example, 42 = 16, but 4-2 = 1/42 = 1/16.

A negative exponent of a number is the same as the reciprocal of that same number to the equivalent positive exponent.EXAMPLE : 2-3 = 1/23When multiplying powers of the same base the rule is, addthe exponents.So, if the initial exponent is negative then the number has to be multiplied by a power of that number with an equivalent positive exponent greater than the negative exponent.EXAMPLE : 2-3 x 25 = 2(-3+5) = 22 (As 5 > l3l then the resultant exponent is positive)

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