SOLUTION: Simplify the given expression (- 27/8)^-4/3 (The fraction itself is negative, not just the 27)

Question 1092732: Simplify the given expression (- 27/8)^-4/3
(The fraction itself is negative, not just the 27)
Found 2 solutions by rothauserc, MathTherapy:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
(- 27/8)^-4/3 =
:
1 / -(27/8)^(4/3) =
:
1 / -(3^3/2^3)^(4/3) =
:
1 / -(3^(3*4)/2^(3*4))^(1/3) =
:
1 / -(3^12/2^12)^(1/3) =
:
Note any real number raised to the 1/3 power is the cube root of that number
:
1 / -(3^4/2^4) =
:
-1 / (3^4/2^4) =
:
-(2^4) / (3^4)
:

Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

Simplify the given expression (- 27/8)^-4/3
(The fraction itself is negative, not just the 27)

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