I am currently studying The Art of Electronics, third edition, by Horowitz and Hill. Exercise 1.5 says the following:
C. Power in resistors
The power dissipated by a resistor (or any other device) is \$P = IV\$. Using Ohm’s law, you can get the equivalent forms \$P = I^2 R\$ and \$P = V^2 / R\$.
Exercise 1.5. Show that it is not possible to exceed the power rating of a 1/4 watt resistor of resistance greater than 1k, no matter how you connect it, in a circuit operating from a 15 volt battery.
I don't understand how I am supposed to do this. I've gone back through the earlier pages, but I cannot tell whether I'm just misunderstanding something, or whether the authors have not introduced sufficient information to complete this exercise. Am I supposed to use \$P = IV\$, \$P = I^2 R\$, or \$P = V^2 / R\$ somehow? There's literally 2 sentences of information here, and none of it describes what is being asked in exercise 1.5.