# What is a negative fractional index?

## What is a negative fractional index?

So lets move on to some negative and fractional indices. Negative indices are all exponents or powers that have a minus sign in front of them and are as result negative. To get rid of the minus, the only thing you have to do is flip the fraction around (or take its reciprocal) and remove the minus in the exponent.

## What is the negative law of indices?

What are negative indices? Negative indices are powers (also called exponents) with a minus sign in front of them. E.g. We get negative indices by dividing two terms with the same base where the first term is raised to a power that is smaller than the power that the second term is raised to.

How do you do negative fractional powers?

A negative fractional exponent works just like an ordinary negative exponent. First, we switch the numerator and the denominator of the base number, and then we apply the positive exponent. Examples: 49 = 73 = 343.

What is a fraction to the negative 1 power?

Why are Negative Exponents Fractions? A negative exponent takes us to the inverse of the number. In other words, a-n = 1/an and 5-3 becomes 1/53 = 1/125. This is how negative exponents change the numbers to fractions.

### What are negative indices explain with an example?

A negative exponent is defined as the multiplicative inverse of the base, raised to the power which is opposite to the given power. In simple words, we write the reciprocal of the number and then solve it like positive exponents. For example, (2/3)-2 can be written as (3/2)2.

### How do you write negative indices?

A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.

What does a negative fractional power mean?

A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa. For example, when you see x^-3, it actually stands for 1/x^3.

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