Question

Give an example of an expression with a rational exponent and explain how to convert it into radical form.

Answer 1

−6x−9/2−6x−9/2−6√x9−6x9   or   −6√x9−6x9   or   −6(√x)9−6(x)9   or   −6(√x)9

Answer 2

A rational exponent is an exponent in the form of a fraction.

When relating rational exponents to radicals, the bottom of the rational exponent is the root, while the top of the rational exponent is the new exponent on the radical.  

x^(2/3) {x to the two-thirds power}

= ³√x² {the cube root of x squared}

Ex 2

x^(1/2) {x to the one-half power}

= √x {the square root of x}