Question

Please help me solve question 23

Answer 1

`I.\\a=((bc^3)^2)/(14)\ \ \ \ |multiply\ both\ sides\ by\ 14\\\\14a=(bc^3)^2\\\\14a=b^2c^(3\cdot2)\\\\14a=b^2c^6-\fbox{:)}\\\\II.\\14a=(bc^4)^2\\\\14a=b^2c^(4\cdot2)\\\\14a=b^2c^8-\fbox{:(}\\\\III.\\ab^(-2)=(c^6)/(14)\ \ \ \ |multiply\ both\ sides\ by\ 14\\\\14ab^(-2)=c^6\ \ \ \ |multiply\ both\ sides\ by\ b^2\\\\14ab^(-2+2)=b^2c^6\\\\14a=b^2c^6-\fbox{:)}\\\\Answer:\boxed{(E)\ I\ and\ III\ only}`

Answer 2

Expression I and expression III are both equivalent to it.
Expression II isn't.