SOLUTION: Use properties of rational exponents to simplify each expression. Assume that all variables represent positive numbers. a.)(-125)^(-2/3) this would be (1/25) b) (8m^5)^(1/2

Algebra ->  Rational-functions -> SOLUTION: Use properties of rational exponents to simplify each expression. Assume that all variables represent positive numbers. a.)(-125)^(-2/3) this would be (1/25) b) (8m^5)^(1/2      Log On


   



Question 886467: Use properties of rational exponents to simplify each expression. Assume that all variables represent positive numbers.
a.)(-125)^(-2/3)
this would be (1/25)
b) (8m^5)^(1/2) over m(7/6)
would this be 2m^(4/3){sqrt(2)}
Im not sure if these are correct. Thanks for the help!

Answer by MathTherapy(10552) About Me  (Show Source):
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Use properties of rational exponents to simplify each expression. Assume that all variables represent positive numbers.
a.)(-125)^(-2/3)
this would be (1/25)
b) (8m^5)^(1/2) over m(7/6)
would this be 2m^(4/3){sqrt(2)}
Im not sure if these are correct. Thanks for the help!

a. CORRECT!!
b. Is this %28%288m%5E5%29%5E%281%2F2%29%29%2Fm%5E%287%2F6%29? If so, that is not what you stated. Repost, paying attention to what you state.