vous : démontrer que le triangle SUV est rectangle. Vous préciserez l'angle droit

b) \( \frac{3}{5} \) of 1 litre \( =\ldots \) d) \( \frac{4}{5} \) of \( 2^{1 / 2} \ell=\ldots \)

\( \begin{array}{ll}\text { Ejemplo: } 9=3^{2}=\left(\frac{1}{3}\right)^{-2} \\ 16 & \text { k) } 81 \\ 25 & \text { i) } 121 \\ 49 & \text {. m) } 144 \\ 64 & \text { n) } 1 / 1.024 \\ 100 & \text { i) } 1 / 625 \\ 256 & \text { o) } 1 / 324 \\ 10.000 & \text { p) } 1 / 144 \\ \frac{1}{100} & \text { q) } 100\end{array} \)

\begin{tabular}{l} Exercise 2.5 \\ \( \begin{array}{lll}\text { 1. Express each of the following numbers as prime factorization form. } \\ \begin{array}{lll}\text { a. } 21 & \text { b. } 70 & \text { c. } 105\end{array} \\ \begin{array}{lll}\text { d. } 252 & \text { e. } 360 & \text { f. } 1,848\end{array} \\ \text { 2. } 180 \text { can be written as } 2^{a} \times 3^{b} \times 5^{c} \text {. Then, find the value of } a, b \text { and } c \text {. } \\ \text { 3. Find the four prime numbers whose product is } 462 .\end{array} \) \\ \hline\end{tabular}

Let \( \mathrm{b}>1 \) be a real number, \( f(\mathrm{x})=\log _{\mathrm{b}} \mathrm{x} \) and \( g(\mathrm{x})=\log _{\frac{1}{\mathrm{~b}}} \mathrm{x} \) Which of the following statements is true? A. For \( 0<\mathrm{x}<1, g(\mathrm{x})>0 \) B. For \( 0<\mathrm{x}<1, f(\mathrm{x})>0 \) C. For \( \mathrm{x}>1,01, f(\mathrm{x})<1 \)

Find all solutions of the equation in the interval \( [0,2 \pi) \). \( -\cot x-1=\csc x \) Write your answer(s) in radians in terms of \( \pi \). If there is more than one solution, separate them with commas. \( x=\square \)