Question

(3^4/3^n)=3^6 what value of N makes equation true

Answer 1

n = - 2

Explanation:

• 
  `\huge\bigg (\frac{ {3}^(4) }{ {3}^(n) } \bigg) = {3}^(6)`

• 
  `\implies\huge 3^(4-n) = 3^6`

• Bases are equal, so exponents will also be equal.

• 
  `\implies\huge 4 - n = 6`

• 
  `\implies\huge - n = 6 - 4`

• 
  `\implies\huge - n = 2`

• 
  `\implies\huge n = - 2`