Final answer:
Raising a rational number to the power of an irrational number involves using the properties of exponents. The result can be approximated using a calculator. One interesting property is that raising a positive rational number to an irrational power can yield both positive and negative results.
Step-by-step explanation:
Raising a rational number to the power of an irrational number involves using the properties of exponents. Let's consider an example: 2^√2. In this case, we cannot express it as a decimal or fraction, so we leave it as is. However, we can approximate it using a calculator. The result of 2^√2 is approximately 2.665. One interesting property is that raising a positive rational number to an irrational power can yield both positive and negative results, depending on the irrational number. For example, (-1)^√2 is equal to approximately -0.877.