Hi MathsGod1
Yes, that is all correct! 
Umm let me see
$$\\4^2=16\\
\sqrt{16}=4\qquad $That is certainly true$\\
$But a square root is really a power of 1/2 so$\\
\sqrt{16}=16^{1/2}=4\\\\$$
I just had a thought, it will help you with equations too. I think inverse is the right word 
6+5-5=6 plus 5 is the inverse of minus 5
$$3*6\div 6 = 3$$ divide by 6 is the inverse of multiply by 6
$$(\sqrt{7})^2=7$$ square is the inverse of square root
$$\sqrt{17^2}=17$$ square root is the inverse of square
$$\\\sqrt[5]{12} =12^{1/5}\;\;and\;\;\\\\
(12^{1/5})^5=12^{5/5}=12\qquad $The power of 5 is the inverse of the fifth root$$
$$log_{10}10^7=7$$ the log is the inverse of base number. Again not wording this properly.