Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.1" was replaced by "(31/10)".

Step  1  :

 1.1     100 = 22•52

(100)³ = (2²•5²)³ = 2⁶ • 5⁶

Equation at the end of step  1  :

  31
  —— • (26•56)
  10

Step  2  :

            31
 Simplify   ——
            10

Equation at the end of step  2  :

  31
  —— • (26•56)
  10

Step  3  :

Dividing exponents :

 3.1    2⁶   divided by   2¹   = 2^{(6 - 1)} = 2⁵

Dividing exponents :

 3.2    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Final result :

  (31•25•55)