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.

What is 4 by the power of 3?

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

What fraction is equivalent to 3 to the negative 3 power?

3 to the power of minus 3 = 3-3 = 1 / 27. To stick with 3 to the power of negative 3 as an example, insert 3 for the base and enter -3 as the index, aka exponent or power. 3 to the negative 3rd power is an exponentiation which belongs to the category powers of 3.

What is the rule for fractional exponents?

The rule for fractional exponents: When you have a fractional exponent, the numerator is the power and the denominator is the root. In the variable example x a b x^{\frac{a}{b}} xba​​, where a and b are positive real numbers and x is a real number, a is the power and b is the root.

Is there such thing as 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.

How to calculate a negative fraction in a calculator?

How to calculate a negative fraction? 1 Enter the numerator This is x in the formula above. 2 Enter the denominator This is y is the formula above. 3 Calculate the negative fraction Multiply EITHER (not both) the numerator or denominator by -1.

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 do you calculate fractions in a calculator?

Answers are fractions in lowest terms or mixed numbers in reduced form. Input proper or improper fractions, select the math sign and click Calculate. This is a fraction calculator with steps shown in the solution. If you have negative fractions insert a minus sign before the numerator.