Simplify and express the result in exponential form :
` 13 ^(4) xx 13 ^(7)`

Answer

To simplify the expression \( 13^4 \times 13^7 \) and express the result in exponential form, follow these steps:

### Step-by-Step Solution:

1. **Identify the base and exponents**:
The expression consists of the same base \( 13 \) with exponents \( 4 \) and \( 7 \).

2. **Apply the Law of Exponents**:
According to the law of exponents, when multiplying two expressions with the same base, you can add the exponents. This can be expressed as:
\[ a^m \times a^n = a^{m+n} \]
In this case, \( a = 13 \), \( m = 4 \), and \( n = 7 \).

3. **Add the exponents**:
Now, we add the exponents:
\[ 4 + 7 = 11 \]

4. **Write the result in exponential form**:
Substitute the sum of the exponents back into the expression:
\[ 13^4 \times 13^7 = 13^{4+7} = 13^{11} \]

### Final Answer:
The simplified expression is:
\[ 13^{11} \]

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