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     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  625
  ——— • (23•53)
  100

Step  2  :

            25
 Simplify   ——
            4 

Equation at the end of step  2  :

  25
  —— • (23•53)
  4 

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5³   = 5^{(2 + 3)} = 5⁵

Dividing exponents :

 3.2    2³   divided by   2²   = 2^{(3 - 2)} = 2¹ = 2

Final result :

  6250