# Fractional Exponents

Pro Problems > Math > Algebra > Expressions > Simplifying and Factoring > Radicals## Fractional Exponents

Find the largest two-digit integer x for which the following expression is an integer.

3x

^{3/2}+ x^{1/2}- 12x - 43x

^{5/4}- 6x + x^{1/4}- 2Presentation mode

Problem by Mr. Twitchell

## Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.Assign this problem

Click here to assign this problem to your students.## Similar Problems

### Simplify the Radicals

Simplify completely: -

2

3

- 12

3

+ 1### Radical within Radical

Simplify the following radical expression completely:

2 +

+ 3

2 -

3

### Radicals in Numerator and Denominator

Simplify

3

+ 1

3

### Square Roots with Fives

Simplify

20

+ 125

+ 45

# Featured Games on This Site

Match color, font, and letter in this strategy game

Trap all the dots in this problem-solving puzzle

# Blogs on This Site

Reviews and book lists - books we love!

The site administrator fields questions from visitors.

Like us on Facebook to get updates about new resources