Simplify - 2 / (the 6th root of 81)
81 = 3^4
81^(1/6) = 3^(2/3)
-2/3^(2/3)
= -2*3^1/3 / 3
= -2cuberoot(3)/3
To simplify the expression -2 divided by the sixth root of 81, we need to find the value of the sixth root of 81 and then perform the division.
Step 1: Determine the value of the sixth root of 81:
The sixth root of 81 can be found by raising 81 to the power of (1/6).
81^(1/6) = 2.620741394
Step 2: Perform the division:
-2 / (sixth root of 81) = -2 / 2.620741394
This expression can be further simplified by dividing -2 by 2.620741394, which results in approximately -0.763932023.
Therefore, the simplified value of -2 / (sixth root of 81) is approximately -0.763932023.