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## Basic Arithmetic

Please Excuse My Dear Aunt Sally (PEMDAS), she has the hardest time remembering how to make sense of these arithmetic rules...

# Rational Exponents

Simplify $$\left( 5^{1/6} \right)^{6/4}$$.

Evaluate $\sqrt[3]{2 ^{3} \times 2 ^3}.$

Evaluate $\left[ \left(\frac{1}{3}\right)^{-\frac{4}{3}} \right]^{\frac{3}{2}} \times 9 ^{-1}.$

What is the value of $$a$$ that satisfies $\left(\sqrt{7}\right)^{4} \times \left(\sqrt[3]{7}\right)^{3} =7 ^a?$

Which of the following is equivalent to $$5^{-\frac{1}{4}}$$?

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