How To Rewrite With A Rational Exponent ∜18?


6 Answers

Iris Phillips Profile
Iris Phillips answered
In order to rewrite with rational exponents, it helps to know the definition of any rational exponent, namely: If q and p are integers, q does not equal zero and b is a real, positive number, then bp/q equals (^q√b)p equals ^q√bp. The definition of b1/4 is ^4√b, because (b1/4)4 equals b.
Therefore, to rewrite with a rational exponent, the expression ^4√18 can be rewritten as 18(1/4), or 181/4.

  • Rational exponents
A very detailed explanation of rational exponents, complete with a variety of suitable examples, may be found here:
  • Radical Expressions
How to simplify radical expressions is explained in great detail at
  • Radical Equations
Solving radical equations is being demonstrated in detailed steps at
  • HotMath
All the above links stem from a website known as HotMath. This site offers detailed explanations and tutorials for a whole range of mathematical problems, from solving linear equations in chapter one to graphing linear equations in chapter two; proportions are dealt with in chapter three and chapter four concentrates on absolute value equations and inequalities.

In chapter five, linear systems are solved, while factoring, exponents and polynomials are the subject of chapter six. Chapter seven is dedicated to rational expressions and equations. The subjects touched on above, namely radical expressions and equations are expanded on in chapter eight.

Relations and functions are discussed in chapter nine, quadratic equations in chapter 10 and statistics in chapter eleven. Geometry has a place in chapter 12, while discrete mathematics and probability can be found in chapter 13. This is just the line-up in the Algebra 1 section, more help can be located on their home page.
Anonymous Profile
Anonymous answered
(squareroot3mn) to the 3rd power how to rewrite with rational exponent
Anonymous Profile
Anonymous answered
Oddman Profile
Oddman answered
A fourth root is the same as a one-fourth power.
18^(1/4) (note that the parentheses are needed when written in this form)
It can also be written using superscripts

Answer Question