SOLUTION: Use the commutative property of multiplication and properties of rational exponents rewrite 2.5^^m/n as two equivalent radical expressions. Explain what these two equations mea

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Question 1097468: Use the commutative property of multiplication and properties of rational
exponents rewrite 2.5^^m/n as two equivalent radical expressions. Explain what
these two equations mean about different ways to evaluate 2.5^^m/n.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
2.5 ^ m/n is equivalent to (2.5 ^ m) ^ (1/n) which is equal to the nth root of (2.5 raised to the mth power).

that would look like this:

%28%282.5%5Em%29%5E%281%2Fn%29%29 equals root%28n%2C2.5%5Em%29

it is also equivalent to (2.5 ^ (1/n)) ^ m which is equal to (the nth root of 2.5) raised to the mth power.

that would look like this:

%28%282.5%5E%281%2Fn%29%29%5Em%29 equals %28root%28n%2C2.5%29%29%5Em

here's a reference that might be helpful.

http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U16_L1_T3_text_final.html