Express each of the following in exponential notation:
` ((-7)/(3))^(11) xx (( - 7)/( 3))^(13)`

Answer

To express the given expression \(\left(\frac{-7}{3}\right)^{11} \times \left(\frac{-7}{3}\right)^{13}\) in exponential notation, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Base and Exponents**:
The base in both terms is \(\frac{-7}{3}\). The exponents are \(11\) and \(13\).

2. **Apply the Exponent Rule**:
According to the exponent rule \(a^m \times a^n = a^{m+n}\), we can combine the two expressions since they have the same base.
\[ \left(\frac{-7}{3}\right)^{11} \times \left(\frac{-7}{3}\right)^{13} = \left(\frac{-7}{3}\right)^{11 + 13} \]

3. **Calculate the New Exponent**:
Now, we add the exponents:
\[ 11 + 13 = 24 \]

4. **Write the Final Expression**:
Thus, we can express the original expression in exponential notation as:
\[ \left(\frac{-7}{3}\right)^{24} \]

### Final Answer:
\[ \left(\frac{-7}{3}\right)^{24} \]