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.

How do you explain fractional indices?

Fractional indices are powers of a term that are fractions. Both parts of the fractional power have a meaning. The denominator of the fraction (b) is the root of the number or letter. The numerator of the fraction (a) is the power to raise the answer to.

How do fractional indices work?

What do fractional indices mean?

Fractional indices are powers of a term that are fractions. Both parts of the fractional power have a meaning. xab. The denominator of the fraction (b) is the root of the number or letter. The numerator of the fraction (a) is the power to raise the answer to.

What is 4 by the power of 3?

64
Answer: The value of 4 to the 3rd power i.e., 43 is 64.

Which is an example of 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. They are quite easy to deal with as there is only one thing that you have to do. Just quickly have a look at the example on the right. We start of with 4 to the power of -2.

How do you Compute negative numbers to fractional powers?

That’s likely what a student has seen when first encountering fractional exponents. If a, b are not integers, then the meaning is less obvious. Odd roots of negative numbers are well-defined. ( − 5)1 3 = − (3√5) is well defined as you can check: it is the only real number that satisfies x3 = − 5.

What does the negative exponent of a fraction mean?

The negative exponent means take the reciprocal, or flip the fraction, so, ((-27)^-1/3) / 1 = 1 / ((-27)^1/3), and the negative exponent is now a positive exponent.

How to find the bottom of the fractional exponent?

We can see this by looking at the bottom number of the fractional exponent. Example 1 In example 1, we start off by taking the reciprocal and square rooting 9. Then we cube the answer and get 1/27 as the final solution. Example 2 In example 2, we do the same procedure as in example one just that we cube root and square. Example 3 – CHALLENGE!