SOLUTION: Please help me evaluate (-27/8)^4/3 Thanks in advance.

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Question 763775: Please help me evaluate (-27/8)^4/3
Thanks in advance.
Found 4 solutions by josgarithmetic, rothauserc, MathLover1, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Both the 27 and the 8 are cubes, so I suspect you did not write the expression that you want evaluated. I will evaluate exactly what you wrote:
, the neg. rational number to fourth power; and then divided by 3.








Did you really mean, ?
Easier to do the cube root process first, and then do the exponentiation by 4.
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
we are asked to evaluate (-27/8)^4/3
(-27/8)^4/3 means take the cube root of -1 * (27*27*27*27) / (8*8*8*8)
notice that the cube root of (27*27*27) / (8*8*8) = 27/8, so we have
27/8 * cube root of -1 * 27/8, but 3^3 = 27 and 2^2 =8, so we have
(27*3) / (8*2) * cube root of -1
now the cube root of -1 is -1, so the final answer is
-81/16
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
.....



















Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Please help me evaluate (-27/8)^4/3
Thanks in advance.





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