SOLUTION: Solve the equation (i) (1/5)=125^-1 (ii) 7x^4/3=1/343

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Question 987313: Solve the equation
(i) (1/5)=125^-1
(ii) 7x^4/3=1/343
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
(i) %281%2F5%29=125%5E-1
0.20=0.008
False
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(ii) 7x%5E%284%2F3%29=1%2F343 Cube both sides
7x%5E4=1%2F40353607 Divide each side by 7
x%5E4=1%2F5764801 Find the fourth root of each side.
x=1%2F49
.
-OR-
%287x%5E4%29%2F3=1%2F343 Multiply each side by 3.
7x%5E4=3%2F343 Divide each side by 7.
x%5E4=3%2F2401 Find the fourth root of each side.
x=root%284%2C3%29%2F7