The equation is
.
For any real number b and for any positive integer n,
.

Add
to each side.


Squaring on each side and eliminate square roots.
\
(Evaluate power:
) \ \
(Add y to each side) \ \

(Subtract 16 from each side) \ \

CHECK:-
\To check the solution, substitute
in
.

(Subtract:
)
(Power of
)
(Apply Power of a power property:
)
(Cancel common terms)
0 = 0
\The solution is true.
The solution y is
.