Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.25" was replaced by "(625/100)".

Step  1  :

 1.1     100 = 22•52

(100)³ = (2²•5²)³ = 2⁶ • 5⁶

Equation at the end of step  1  :

  625
  ——— • (26•56)
  100

Step  2  :

            25
 Simplify   ——
            4 

Equation at the end of step  2  :

  25
  —— • (26•56)
  4 

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5⁶   = 5^{(2 + 6)} = 5⁸

Dividing exponents :

 3.2    2⁶   divided by   2²   = 2^{(6 - 2)} = 2⁴

Final result :

  (58•24)