One way to approach this would be to express 125^2 as (125)(125).
Note also that 125^(4^3) = 125^(1 + 1/3) = (125)(5)
Therefore, the given expression boils down to
(125)(125) 125
--------------- = ------- = 25
5 (125) 5
There are other ways in which you could reduce the given expression.
I think it the third one (sorry if am wrong)
Answer:
The circulation of the given vector is (5/2)x² + 7yz + 6yz + C
Step-by-step explanation:
Given that F = 5xi + 7zj + 6yk
The circulation of F is given as
Integral of F.dr
dr = idx + jdy + kdz
F.dr = (5xi + 7zj + 6yk).(idx + jdy + kdz)
= 5xdx + 7zdy + 6ydz
Integral of F.dr = Integral of (5xdx + 7zdy + 6ydz)
= (5/2)x² + 7yz + 6yz + C
The answer would be 240,000
I think the answer is (0,-3)
