95 ÷ 729 x 81 ÷ 92 x 6561 = 9? X 9

95 ÷ 729 x 81 ÷ 92 x 6561 = 9? X 9

A.            5

B.            3

C.            4

D.            2

E.            None of these

Sol:

9⁵÷ 729 x 81 ÷ 9² x 6561 = 9? X 9

=> 9⁵÷ 9³ x 9²÷ 9² x 9⁴ = 9^? X 9

=> 9^{(5 – 3 + 2 – 2 + 4)} = 9^{(? + 1)}

=> 9⁶ = 9^{(? + 1)}

=> 6 = ? + 1

=> 6 – 1 = ?

=> 5 = ?