Solution - Power equations

Step  1  :

 1.1     70 = 2•5•7

(70)² = (2•5•7)² = 2² • 5² • 7²

Equation at the end of step  1  :

   1
  —— • (22•52•72)
  16

Step  2  :

             1
 Simplify   ——
            16

Equation at the end of step  2  :

   1
  —— • (22•52•72)
  16

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2⁴   = 2^{(2 - 4)} = 2^(-2) = ¹/_2²

Final result :

  1225             
  ———— = 306.25000 
   4