Basic Arithmetic

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

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

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

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 $5^{-\frac{1}{4}}$ ?