SOLUTION: Rational exponents: Negative exponents and fractional bases What is the answer without exponents? (1/8)2/3=? 125 -2/3=??

Question 682500: Rational exponents: Negative exponents and fractional bases
What is the answer without exponents?
(1/8)2/3=?
125 -2/3=??

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
These are NOT nearly as hard as they look!!

means to take the CUBE ROOT of (1/8), which is 1/2.
Then RAISE to the 2 power, so the answer is

means to take the CUBE ROOT of 125, which is 5.
Then, raise to the -2 power, so the answer is .

For a more complete explanation of this topic in my own words, please see my own website, which is easy to find by using the link www.mathinlivingcolor.com. Click on the link near the bottom of this page, and go to my Homepage. Once on my homepage click on the link "Basic, Intermediate, and College Algebra: One Step at a Time". Select "Intermediate Algebra", and look in Chapter 3, Section 3.05 Fractional Exponents." You probably will like my FREE explanations with many solutions in COLOR on the corresponding "Math in Living Color" pages.

I hope you like the website and that you will recommend it to friends and family.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida

www.mathinlivingcolor.com.

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