Question

no. 17 in the following image do through indices

Answer 1

Heya_______________........

Answer 2

√{a √{a √{a √{a ..........∞}}}} = y ( let )

we know,
if remove one term from infinity then, result is also infinity .

hence,
√a [ √{a √{ a √{a....∞}}} ] = y

here [ √{a √{a √{a.........∞)] = y ( also)

so,

√(ay) = y
take square both sides,
ay = y²
a = y

hence,

√{a√{a√{a√{a .......∞}}} = a
hence, proved //