SOLUTION: I can't figure out how to simplifiy or in other words solve this problem, What is (3/10)^-3. just in case in words it is, (three tenths)to the negitive third power. Thank you

Algebra ->  Algebra  -> Exponents -> SOLUTION: I can't figure out how to simplifiy or in other words solve this problem, What is (3/10)^-3. just in case in words it is, (three tenths)to the negitive third power. Thank you      Log On

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Question 23648: I can't figure out how to simplifiy or in other words solve this problem, What is (3/10)^-3. just in case in words it is, (three tenths)to the negitive third power.
Thank you
Found 2 solutions by queenofit, longjonsilver:
Answer by queenofit(120) About Me  (Show Source):
You can put this solution on YOUR website!
have you tried using the recipricol? then it would be 10/3^3. much easier to solve. just cube both portions of the fraction and reduce and you should have your answer.
see if that is the correct answer your instructor wanted you to get.

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
a negative power means the following: a%5E%28-m%29+=+1%2F%28a%5Em%29

so, %283%2F10%29%5E%28-3%29 is 1%2F%283%2F10%29%5E3

Also, know that 1%2F%28a%2Fb%29 is b/a, so we get %2810%2F3%29%5E3 which is 1000/27

jon.