
Philip P. answered 09/08/14
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1) 7 - 4m5/3 = -4089
Subtract 7 from both sides:
-4m5/3 = -4096
Divide both sides by -4:
m5/3 = 1024
Take the 5th root of both sides
(m5/3)1/5 = (1024)1/5
m1/3 = 4
Cube both sides:
(m1/3)3 = 43
m = 64
2) 63n+1 = 1
Now 60 = 1, so we must have:
3n+1 = 0
3n = -1
n = -1/3
3) 3-n = 1/27
Now 3-n = 1/3n and 1/27 = 1/33; so:
1/3n = 1/33
n = 3