Using laws of exponents, simplify and write the answer in exponential form:
`(3^4)^3`

Answer

To simplify the expression \((3^4)^3\) using the laws of exponents, follow these steps:

### Step 1: Identify the Exponents
We have the expression \((3^4)^3\). Here, the base is \(3\), the first exponent is \(4\), and the second exponent is \(3\).

### Step 2: Apply the Power of a Power Rule
According to the laws of exponents, when you raise a power to another power, you multiply the exponents. This can be expressed as:
\[ (a^m)^n = a^{m \cdot n} \]
In our case, we apply this rule:
\[ (3^4)^3 = 3^{4 \cdot 3} \]

### Step 3: Calculate the New Exponent
Now, calculate \(4 \cdot 3\):
\[ 4 \cdot 3 = 12 \]
So, we can rewrite the expression as:
\[ (3^4)^3 = 3^{12} \]

### Step 4: Write the Final Answer
The simplified expression in exponential form is:
\[ 3^{12} \]

### Final Answer:
\[ 3^{12} \]

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