Understanding Rational Exponents

A New Kind of Exponent

Look at the expressions below. What could they mean?

To find out the answer to the previous question, fill up the folowing table. One row is filled up as an example.

Open Ended

When is there a unique possible value of $$b^{\frac{1}{n}}$$ in Column C?

Open Ended

When are there no possible values of $$b^{\frac{1}{n}}$$ in Column C?

Open Ended

When are there two possible values of $$b^{\frac{1}{n}}$$ in Column C?

Open Ended

If there are two values of $$b^{\frac{1}{n}}$$ .what do you observe about these two values?