# Prove that 9

L.H.S=91/3 × 91/9 × 91/27 × …..

=9(1/3)+(1/9)+(1/27)+…∞

The series in the exponent is an infinite geometric series

Whose, a

Sum of the series in the exponent

L.H.S=91/2

=3=R.H.S

Hence, Proved that 91/3 × 91/9 × 91/27 × ….. = 3

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