3.(1 ponnt) Perform the indicated operations. Express the result using positive exponents. \[ 10^{-6} \cdot 10^{-1} \cdot 10^{4} \] a) \( 10^{24} \)

b. \( \sqrt[4]{20} \cdot \sqrt{50} \)

Write in terms of \( i \). Simplify your answer as much as possible. \( \sqrt{-14} \)

Perform the indicated operations. Write the result in scientific notation rounded to three significant digits. \[ \left(\frac{9.6 \times 10^{-3}}{\left(2.45 \times 10^{-4}\right)\left(1.1 \times 10^{5}\right)}\right)^{6} \]

Write in terms of \( i \). Simplify your answer as much as possible, \( -\sqrt{-9} \)

Simplify the complex number \( i^{66} \) as much as possible.