Multiplying and Dividing Monomials

Question

In this problem you will investigate area and volume.  The formulas A=s squared and V=s to the third power can be used to find the area of a square and the volume of a cube.

 

Side Length  - Area of Square - Volume of  Cube 

2S                            --                        --

3S                           

--

S2

S3

Answer 1

Hi Conny;

A=s², V=s³

 

Side Length...Area of Square...Volume of Cube

2s.................(2s)²=4s²..........(2s)³=8s³

3s.................(3s)²=9s²..........(3s)³=27s³

s².................(s²)²=s⁴............(s²)³=s⁶

s³.................(s³)²=s⁶............(s³)³=s⁹

 

Please note that an exponential to an exponential, such as (s³)³ must have the exponentials multiplied together, s⁹.