Simplify \( \frac{-4 \sqrt{7} \times \sqrt{15}}{\sqrt{6}} \) and rationalize the denominator of the result.

Evaluate each expression. \[ \begin{array}{l}\text { (a) } \log _{7} \frac{1}{7}=\square \\ \text { (b) } \log _{3} 27=\square\end{array} \]

Use the properties of logarithms to expand the expression. \( \ln \left(5 m^{6}\right) \) \( \ln \left(5 m^{6}\right)=\square \)

19. Эcenreruse: \( \frac{4^{0.5}}{0,5^{4}}= \) A) 4 Б) 8 B) 16 D) 32 D) 64

AUTOEVALUACION Opera. \[ (-3)^{-2}+\left(\frac{3}{4}\right)^{-1}-2^{-3}\left(1-\frac{1}{2}\right)^{-2} \]

Determine whether the following equation defines \( y \) as a function of \( x \). \[ \begin{array}{l}x^{2}+y^{2}=121 \\ \text { Yes noes the equation } x^{2}+y^{2}=121 \text { define } y \text { as a function of } x \text { ? } \\ \text { No }\end{array} \]