Question

Find the value of n for which (4/9)⁴×(4/9)⁷=(4/9)²ⁿ

Answer 1

n = 11/2

(4/9)⁴+⁷ = (4/9)²^n

[Dividing both sides by 4/9]

1¹¹ = 1²^n

11 = 2n

n = 11/2

Hope it helps!!