## Simplifying (x^6)(x^5)

In mathematics, when multiplying exponents with the same base, we add the powers. This is a fundamental rule that simplifies expressions significantly. Let's break down how to simplify (x^6)(x^5):

### Understanding the Rule

The rule states: **x^m * x^n = x^(m+n)**

**x**represents the base (the variable or number being multiplied by itself)**m**and**n**represent the exponents (the number of times the base is multiplied by itself)

### Applying the Rule to (x^6)(x^5)

**Identify the base:**In our expression, the base is 'x'.**Identify the exponents:**We have '6' and '5' as exponents.**Add the exponents:**6 + 5 = 11**Combine the base and the new exponent:**x^(6+5) = x^11

### Final Answer

Therefore, (x^6)(x^5) simplifies to **x^11**.