Answer: Our required exponential form would be \(a^{6n-3n}=a^{3n}\)
Step-by-step explanation:
Since we have given that
\(\dfrac{a^{6n}}{a^{3n}}\\\)
We need to write in positive exponents:
According to law of exponents:
\(a^m\div a^n=a^{m-n}\)
So, using this, our expression becomes,
\(a^{6n-3n}=a^{3n}\)
Hence, our required exponential form would be \(a^{6n-3n}=a^{3n}\)