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a^6n-3n



a^3n

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 \(a^{6n-3n}=a^{3n}\)