Show that the groups g = (r,+) and h = (r",) are isomorphic by proving that the function f: g h defined by f(x) = 2* is a group isomorphism. (more space available on back).

you are playing an adventure game on your computer. you come across a troll who won't let you pass and there is no other way to get to the other side of the river except over the bridge he is guarding.

the troll is a nerd. he takes great delight in watching people struggle with his problems. very few get them. he only gives you one chance and then he changes the puzzle. you have to solve this one.

before you are four blocks. they are numbered 11,6, -7,21.

he tells that the answer he wants is minus and between -1 and - 2. you can use +, -, ×, ÷   ( and ) as many times as you like or no times at all. you don't like the way he's looking at you, but you need to cross the bridge. what do you do?

once you solve it out the value of x is 13

the awnser is 10,000 times greater than 5.39×10^−2