Think of a number that is - 72964 when it is multiplied by itself three times.
- 9/4
The cube root of a number a is another number b if b multiplied by itself three times is a. This means that if b is the cube root of a, b raised to the third power is a. Let's see some examples of this.
sqrt(a)= b
because b^3= a [0.8em]
c|c
sqrt(- 8)= - 2 & sqrt(27)= 3
because( - 2)^3= - 8 & because 3^3= 27
Now, we will find the cube root of - 72964. We need to think of a number that is - 72964 when it is raised to the third power.
? ^3= - 72964
We will use the Quotient of Powers Property to see that this number is - 94.
