Question

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

Answer 1

Answer:

n = - 2

Step-by-step 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.

• $\implies\huge 4 - n = 6$

• $\implies\huge - n = 6 - 4$

• $\implies\huge - n = 2$

• $\implies\huge n = - 2$