How do I work out 9 to the power of 1/2?

[QuestionSeeker]

Question: What is the value of 9 1/2? NOTE: The 1/2 is meant as to the power of, as it is slightly elevated, but I am not sure how to do that with a computer. Thanks in advance!

 

[JeffM]

Question: What is the value of 9 1/2? NOTE: The 1/2 is meant as to the power of, as it is slightly elevated, but I am not sure how to do that with a computer. Thanks in advance!

You can show exponents using a carat (usually use shift key and 6) and, if necessary, parentheses. So 9^(1/2) means: \(\displaystyle 9^{(1/2)}.\)

Now the definition of exponents that are reciprocals of positive integers is

\(\displaystyle n \in \mathbb Z\ and\ n > 0 \implies a^{(1/n)} \equiv \sqrt[n]{a}.\)

So what's the answer to your question now that you have a definition.[/tex]

 

[QuestionSeeker]

Thank you guys!