We can observe a clear connection between powers and roots for all numbers.
Let us begin with the number six:
- Six squared is equal to 36, and six is the square root of 36.
- Six cubed (raised to the power of three) is equal to 216, and six is the cube root of 216.
The same sort of pattern applies to the number three, and to all other numbers:
- Three squared is equal to nine, and three is the square root of nine.
- Three cubed (raised to the power of three) is equal to 27, and three is the cube root of 27.
- Three raised to the fourth power is equal to 81, and three is the fourth root of 81.
- Three raised to the fifth power is equal to 243, and three is the fifth root of 243.