Question

what is the meaning of rational exponent?

Answer 1

a number is rational if it can be written in the form a/b where a,b are integers and b is NOT 0.

So a rational exponent is a exponent that is a rational number

Answer 2

i.e \(3^{\frac{1}{2}}, 4^2, 6^0, 7^\frac{4}{7}\)....

Answer 3

but not \(4^\pi\)

Answer 4

Didn't I answer this once? A RATIOnal number is a number that can be expressed as a RATIO of two integers -- or in other words a fraction. All integer exponents are rational because they are equivalent to n/1.

Answer 5

So in ordinary terms, a rational exponent is an integer or a fraction that is composed of integers or an expression that evaluates to one of these.

Answer 6

A rational exponent represents both an integer exponent and an nth root. The root is found in the denominator (like a tree, the root is at the bottom), and the integer exponent is found in the numerator.