Hisoblang: \( \sqrt{66^{2}-44^{2}-22^{2}} \) \( \begin{array}{llll}\text { A) } 22 & \text { B) } 44 & \text { C) } 0 & \text { D) } 33\end{array} \)

Evaluate each expression. \[ \begin{array}{l}\text { (a) } \log _{5} \frac{1}{5}=\square \\ \text { (b) } \log _{2} 32=\square\end{array} \]

e) \( \sqrt[2]{\left(\frac{49}{9}\right)^{11} \cdot\left(\frac{49}{9}\right)^{-4}:\left(\frac{98}{18}\right)^{6}: \frac{196}{36}+[3-(0, \hat{6}-1)]^{2}}= \)

2. The value of \( \frac{(0.1)^{2}-(0.01)^{2}}{0.0001}+1 \) is

b. \( \quad \) Simplify \( (\sqrt{5})^{-2} \times 75^{1 / 2} \times 12^{-1 / 2} \)

Use the properties of logarithms to expand the following expression. \[ \log \left(\frac{\sqrt[3]{x^{4}}}{(x+7)^{5}}\right) \] Your answer should not have radicals or exponents. You may assume that all variables are positive.