Study guides

Q: Why does a negative exponent equal a fraction?

Write your answer...

Submit

Related questions

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

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.

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.

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

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.

Yes.

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!

you make it into a fraction by puting whatever the negative exponent is attach to an pu that on the botttom of the fraction and leave a one on top

only if the positive fraction is "larger" than the negative one.

Not necessarily. Every exponent in the exponent must be a non-negative integer. This is not what you have specified. For example, if n = 3.5, it is not a term in a polynomial expression.

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.

7/10

A positive exponent in the denominator of a fraction, with one in the numerator. For example: 4-2 = 1/42 (Formatting difficult: read fraction as "one over four squared")

If the exponent is not negative, then a number written in scientific notation is greater than or equal to 1.

4-1 = 1/4 = 0.25

negative -1/2+-1/2 = -1

negative 4 with negative 3 as an exponent

the exponent is a negative

A negative exponent or power is equivalent to the reciprocal of the positive exponent. 2-4 = 1/24 = 1/16 = 0.0625

a negative exponent simply indicates that the term is the reciprocal of the given value. x to the power of negative 2 is 1/x^2

Negative 0.05 ( - 0.05 ) is equal to - 1/20.