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### Section 1.2 : Rational Exponents

1. Evaluate the following expression and write the answer as a single number without exponents.

${36^{\frac{1}{2}}}$
Hint : Recall that $${b^{\frac{1}{n}}}$$ is really asking what number did we raise to the $$n$$ to get $$b$$. Or in other words, ${b^{\frac{1}{n}}} = ?\hspace{0.25in}\hspace{0.25in}{\mbox{is equivalent to}}\hspace{0.25in}{?^n} = b$
Show Solution

For this problem we know that $${6^2} = 36$$ and so we also know that,

${36^{\frac{1}{2}}} = \require{bbox} \bbox[2pt,border:1px solid black]{6}$

Note that if you arenâ€™t sure of the answer to these kinds of problems all you really need to do is set up

${?^2} = 36$

and start trying integers until you get the one you need.