Simplify and write the answer in exponential
`((3^7)/(3^6))xx3^5`

Answer

To simplify the expression \(\frac{3^7}{3^6} \times 3^5\) and write the answer in exponential form, we can follow these steps:

### Step 1: Apply the Law of Exponents for Division
Using the law of exponents, \(\frac{a^m}{a^n} = a^{m-n}\), we can simplify \(\frac{3^7}{3^6}\):

\[ \frac{3^7}{3^6} = 3^{7-6} = 3^1 \]

### Step 2: Rewrite the Expression
Now, we can rewrite the expression using the result from Step 1:

\[ 3^1 \times 3^5 \]

### Step 3: Apply the Law of Exponents for Multiplication
Using the law of exponents, \(a^m \times a^n = a^{m+n}\), we can simplify \(3^1 \times 3^5\):

\[ 3^1 \times 3^5 = 3^{1+5} = 3^6 \]

### Final Answer
Thus, the simplified expression in exponential form is:

\[ 3^6 \]

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