(9/5)⁷÷(9/5)² = (9/5)²a-1
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(9/5) ⁷ ÷ (9/5) ² = (9/5)a-1
⇔ a ⋅ 81 /25 − 1 = ( 9 /5) ^5
⇔ a ⋅ 81 /25 = 59049/ 3125 + 1 = 62174 /3125
⇔ a = 686 /1125
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