SOLUTION: Can anyone please help with this rational exponents problem? Simplify using the rules of exponents and give detailed step by step directions on how you arrive to the solution.

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Question 862109: Can anyone please help with this rational exponents problem?
Simplify using the rules of exponents and give detailed step by step directions on how you arrive to the solution.
27^(-2/3)/27^(-1/3)

Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Both exponents start as negative; and there is a rule like, .
Not really the best rule to most immediately use. Notice both bases are 27. Also is the exponent rule like , more useful here.




and NOW you can use the first stated rule about the negative exponents:
WAIT. Not really necessary. WHY?

, simply factored the base;
Know THIS rule:

Next step then is




One big problem on the site is that rendering of rational exponents often works badly. write me a message if you want to see the steps through a different form or platform.

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