Using laws of exponents, simplify and write the answer in exponential form:
`2^(5)xx5^5`

Answer

To simplify the expression \(2^5 \times 5^5\) using the laws of exponents, follow these steps:

### Step-by-Step Solution:

1. **Identify the bases and exponents**:
The expression consists of two parts: \(2^5\) and \(5^5\). Both parts have the same exponent, which is 5.

2. **Apply the law of exponents**:
According to the laws of exponents, when multiplying two powers with the same exponent, you can multiply the bases and keep the exponent. This can be expressed as:
\[ a^m \times b^m = (a \times b)^m \]
Here, \(a = 2\), \(b = 5\), and \(m = 5\).

3. **Multiply the bases**:
Now, we can multiply the bases:
\[ 2^5 \times 5^5 = (2 \times 5)^5 \]

4. **Calculate the multiplication**:
Calculate \(2 \times 5\):
\[ 2 \times 5 = 10 \]

5. **Write the final expression**:
Substitute back into the expression:
\[ (2 \times 5)^5 = 10^5 \]

### Final Answer:
Thus, the simplified form of \(2^5 \times 5^5\) is:
\[ 10^5 \]