Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best viewed in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (you should be able to scroll/swipe to see them) and some of the menu items will be cut off due to the narrow screen width.
Section 1.3 : Radicals
4. Write the following expression in exponential form.
\[\sqrt {{w^2}{v^3}} \] Show SolutionAll this problem is asking us to do is basically use the definition of the radical notation and write this in exponential form instead of radical form.
\[\require{bbox} \bbox[2pt,border:1px solid black]{{{{\left( {{w^2}{v^3}} \right)}^{\frac{1}{2}}}}}\]Recall that when no index is written on the radical it is assumed to be 2.
Also, be careful with parenthesis here! Recall that the only thing that gets the exponent is the term immediately to the left of the exponent and so we need parenthesis on the whole thing to make sure that we understand that both terms were under the root.