The expression (10w^3)^2/5w is equivalent to

       
Equation at the end of step  1:
             ((2•5w^3)^2)
   —————————— • w
                   5                   

Simplify                    (2^2•5^2w^6) 
                       —————————
                                       5
Dividing exponents :

 2.1    5^2   divided by   5^1   = 5^(2 - 1) = 5^1 = 5

Equation at the end of step  2  :
 20w^6 • w

Step  3  :Multiplying exponential expressions :

 3.1    w^6 multiplied by w^1 = w^(6 + 1) = w^7

Final result : 20w^7

An  atom  (ours, not carroll's) consists of a positively charged  nucleus, surrounded by one or more negatively charged particles called  electrons. the positive charges equal the negative charges, so the atom has no overall charge; it is electrically neutral. most of an atom's mass is in its nucleus; the mass of an electron is only 1/1836 the mass of the lightest nucleus, that of hydrogen. although the nucleus is heavy, it is quite small compared with the overall size of an atom. the radius of a typical atom is around 0.1 to 0.25 nanometres (nm), whereas the radius of a nucleus is about 10-6  nm.  *  if an atom were enlarged to the size of the earth, its nucleus would be only 200 feet in diameter and could easily rest inside a small football stadium.read more on -

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