Radical Expressions/Fractional Exponents

A radical expression may be written as an
expression with fractional exponents and vice-versa.

The radical expression
becomes a fractional exponent expression. Notice the
position of the numerator and denominator of the fraction … the exponent
on the radicand becomes the numerator and the index becomes the
denominator. To reverse the situation, the fractional exponent expression
becomes a radical expression … once again, the index
becomes the denominator. The last example can then be further
simplified: . It would be helpful to review the
Rules of Exponents since these rules also apply to expressions
with fractional exponents.

**
General Algebra Tips**

The views and
opinions expressed in this page are strictly those of Mary Lou Baker.

The contents of this page have not been reviewed or approved by Columbia
State Community College.

This page was
edited on
15-Nov-2007