AN ENLIGHTENING CARROT DIAGRAM
So remember, a fractional exponent is just .
Example 2: 4⅔ = ?
First, you should raise x to the p power, and then take the q root:Also, if you ever see a question that asks you what 1,293,254 to the 0th
power is, you can punch it into your calculator, or you can just remember that
anything (that’s not zero) to the 0th power is equal to 1. Even if it’s 1,293,254^0.
It’s just 1.
RADICAL EQUATIONS
Push radicals to the margins to make things easier. That’s what the U.S. government attempted to do in the 1960s.
—Samantha
Radical equations are not, unfortunately, equations with extreme political views;
they are just equations that use the root sign. When you see something like ,
all you have to remember is one thing: Isolate the enemy. Get the radical by
itself. The rest is a piece of cake.
Example: If , then what is x?The first thing you do in a problem like this is to get all the constants on one
side. So let’s add 4 to both sides: