Evaluate the function at the given values of \( x \). Round to 4 decimal places, if necessary. \[ g(x)=9^{x} \] Part: \( 0 / 4 \) Part 1 of 4 \( g(-3)=\square \)

Find \( \|\mathbf{v}\| \). \( \mathbf{v}=-3 \mathbf{i}+7 \mathbf{j} \) \( \begin{array}{l}\|\mathbf{v}\|=\square \\ \text { (Simplify your answer. Type an exact answer, using radicals as needed.) }\end{array} \)

Simplify the expression without using a calculator. \( \ln e^{2}=\square \)

Simplify the expression without using a calculator. \( \log _{9} 9=\square \)

10. I en skål med 200 vindruvor är \( 90 \% \) gröna och resten blåa. Rickard äter enbart gröna vindruvor. Hur många vindruvor har Rickard ätit när andelen gröna vindruvor har minskat till \( 80 \% \) ?

20. Vereinfache im Kopf. \( \begin{array}{lll}\text { a) }\left(5^{\frac{4}{5}}\right)^{\frac{5}{2}} & \text { b) }\left(36^{\frac{3}{4}}\right)^{\frac{2}{3}} & \text { c) }\left(49^{-\frac{6}{7}}\right)^{\frac{7}{12}}\end{array} \)