Question

If (4/5)⁴ × (4/5)⁵ ÷ (4/5) = (4/5)²ⁿ ,then value of 'n' would be​

Answer 1

Answer:

(-2/7)-4 × (-5/7)2

= (7/-2)4 × (-5/7)2

= (-7/2)4 × (-5/7)2 [Since, (7/-2) = (-7/2)]

= (-7)4/24 × (-5)2/72

= {74 × (-5)2}/{24 × 72 } [Since, (-7)4 = 74]

= {72 × (-5)2 }/24

= [49 × (-5) × (-5)]/16

= 1225/16

Answer 2

Step-by-step explanation:

(4/5)^4+5 = (4/5)^2n +1

Then, 9=2n+1

8/2=n

n=4