Word Problems: Equivalent Expressions
Sometimes, we need to translate a statement of equivalence back and forth between words and symbols.
For example, "Cubing a number and then dividing the result by is the same as dividing the number by and then finding its cube."
Let’s translate this into math symbols. “Cubing a number” means multiplying it times, or
Now divide this by :
On the other side, start by dividing by , and then cube the result. (Use parentheses.)
So the translation of the full statement becomes:
(In this case, you can check that the equation is true using the Power of a Quotient Property .)