Question

If 9^n × 3²× (3^-n/2) –27 ÷ 3^3m × 2³ = 1/27

Prove that m–n= 1

Answer 1

♠♠♠Your answer is in the attachment above ♠♠♠

Answer 2

solution

9∧n*3²*(3∧-n/2)-27/3∧3m*2∧3=1/27

3∧2n*3²*(3∧-n/2)-3³/3∧3m*2∧3=1/27

3∧2n+2-n/2-3³/3∧3m*2∧3=1/27

3∧3n+4 -33∧-3m=1/3∧3

3n+4-3m=1/3

⇒ m-n=1