Question

please answer me this question with complete solution​

Answer 1

Answer:

a = 2ⁿ  ; 8 = 2³

8a³ = (2³)(2ⁿ)³ = (2³ⁿ⁺³)

b = 2ⁿ⁺¹

b² = (2ⁿ⁺¹)²    = 2²ⁿ⁺²

now,

8a³/b²

2³ⁿ⁺³/2²ⁿ⁺²  

2⁽³ⁿ⁺³⁻²ⁿ⁻²⁾

2ⁿ⁺¹ = RHS

hence, proved

m is not given in subscripts, that's why I use n in place of m. Take care !!