Q: Why is a number to a negative exponent a fraction?

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Any non-zero fraction is the same as its reciprocal raised to the power of -1.So 3/4 = (4/3)-1 and there you have your negative exponent!

i can be a negative number a negative number or a zero but i am never a decimal or fraction

There is no such number, but is is a tiny, minuscule, fraction below zero. But half that fraction is a higher negative number. And half of THAT fraction is higher still. And so on.

Then, if the exponent is a positive integer, the value is 1 multiplied by the base repeatedly, exponent times. If the exponent is a negative integer then it is the reciprocal of the above value.In either case, it is NOT the base multiplied by itself an exponent number of times.

If you know how to turn a mixed number into a fraction and a fraction into a decimal do that then make it negative.

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A fraction

Anything to the power of a negative number is equal to one divided that "anything" raised to the positive value of the exponent. For example:a-b = 1/ abSo you can think of this by expressing the number as a fraction. Consider, what is 0.1 as a fraction? The answer is 1/10. This means that when expressed as an exponent, it would be 10-1.

Flip the fraction top-to-bottom, and delete the minus sign from the exponent.

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

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.

The reciprocal of a^(-x/y) is 1/a^(x/y). The fact that the exponent is a fraction makes no difference.

Negative exponents indicate that the number for which the exponent applies to should be placed under one. Ex: 2^(-3) also can be expressed as 1/(2^3) or 1/8. So, to eliminate the negative exponent, simply place the number (and the accompanying exponent) under one to make a fraction.

Any non-zero fraction is the same as its reciprocal raised to the power of -1.So 3/4 = (4/3)-1 and there you have your negative exponent!

Any non-zero fraction is the same as its reciprocal raised to the power of -1.So 3/4 = (4/3)-1 and there you have your negative exponent!

A negative exponent is put into fraction form because it is a way of writing powers of fractions or decimals.

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.

No, a number raised to a negative exponent is less than 1. When a number is raised to a negative exponent, it is inverted and the exponent becomes positive. This means that the value of the number decreases as the exponent becomes more negative.