8. Expresa con exponente fraccionario y simplifica si es posible. \( \begin{array}{llll}\text { a) } \sqrt{\left(x^{4} y^{6}\right)^{2}} & \text { b) } \sqrt[3]{x^{2}+y^{2}} & \text { c) } \sqrt[5]{(3 y)^{7}} & \text { d) } \sqrt[5]{\frac{2}{x^{3}}}\end{array} \)

8 Olivia drove 170 miles each way (there and back) to visit her cousin. On the trip, Olivia drove an extra 20 miles to see the Grand Canyon. She also drove an extra 45 miles to see Lake Powell. Write one or more equations you could use to represent th number of miles Olivia drove on her trip.

83 Olivia drove 170 miles each way (there and back) to visit her cousin. On the trip, Olivia drove an extra 20 miles to see the Grand Canyon. She also drove an extra 45 miles to see Lake Powell. Write one or more equations you could use to represent the total number of miles Olivia drove on her trip. Show your work.

A straight highway connects Town A and Town B, a distance of 45 kilometres, Andy started biking along the highway from Town A to Town B at 8:00 AM at a constant speed of 3 kilometres per hour. Ben started biking on a parallel highway from Town B to Town A at 9:00 AM at a constant speed of 4 kilometres per hour. How many kilometres had Ben biked when they met along the way?

Given \( \left(\begin{array}{ll}1 & 6 \\ 7 & 2\end{array}\right)\binom{r}{3}=\binom{y}{y} \). Determine the values of \( r \) and \( y \). \( \begin{array}{ll}\mathbf{A} \quad r=20, y=2 & \text { C } r=4, y=9 \\ \text { B } r=2, y=20 & \text { D } r=9, y=4\end{array} \)

3. Use the system of equations shown for Parts A and B. \( \left\{\begin{array}{l}3 x-2 y=-10 \\ -4 x+3 y=13 \\ \text { A. Solve one of the equations for either variable. } \\ \text { B. Use substitution to find the solution of the system. }\end{array}\right. \).