What is the advantage of using exponents rather than radicals?
Not what you're looking for?
While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. What is an example of an equation easier to solve as a rational exponent rather than as a radical sign.
Purchase this Solution
Solution Summary
I provide a solution to this problem that illustrates that it is much easier to solve an algebraic equation using rational exponents than it is using the radical sign.
Solution Preview
The advantage is: rational exponents are much easier to work with than are radical signs since we can manipulate them with simple arithmetic operations. For example, let's look at the following equation:
(sqrt(3x+1))^3 = 64
Got that? That means that (3x+1) is in a radical sign and the whole thing is cubed. Remember, the "^" sign means "raised to the power of."
How can we solve this? Well, if we get rid of the radical sign, it ...
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.