Simplify and express each of the following in exponential form:
`(3^7)/(3^(4)xx3^3)`

Answer

To simplify the expression \((3^7)/(3^4 \times 3^3)\) and express it in exponential form, we can follow these steps:

### Step 1: Rewrite the denominator using the property of exponents
The denominator \(3^4 \times 3^3\) can be simplified using the property of exponents which states that \(a^m \times a^n = a^{m+n}\).

So, we can rewrite the denominator:
\[ 3^4 \times 3^3 = 3^{4+3} = 3^7 \]

### Step 2: Substitute the simplified denominator back into the expression
Now we can substitute this back into our original expression:
\[ \frac{3^7}{3^4 \times 3^3} = \frac{3^7}{3^7} \]

### Step 3: Apply the property of exponents for division
Next, we apply the property of exponents for division, which states that \(\frac{a^m}{a^n} = a^{m-n}\):
\[ \frac{3^7}{3^7} = 3^{7-7} = 3^0 \]

### Step 4: Simplify \(3^0\)
By the property of exponents, we know that any non-zero number raised to the power of 0 is equal to 1:
\[ 3^0 = 1 \]

### Final Result
Thus, the simplified expression in exponential form is:
\[ 3^0 \]

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