SOLUTION: the square of a number is the second power of the number. the cube of a number is the third power of the power. Explain why these names are reasonable?

Algebra ->  Exponents -> SOLUTION: the square of a number is the second power of the number. the cube of a number is the third power of the power. Explain why these names are reasonable?      Log On


   



Question 152940This question is from textbook
: the square of a number is the second power of the number. the cube of a number is the third power of the power. Explain why these names are reasonable? This question is from textbook

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The term "square" for the second power is derived from the area of a square of sides x. The area is given by:
A+=+x%5E2
The term "cube" for the third power is similarly derived from the volume of a cube of sides x. The volume is given by:
V+=+x%5E3