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  :

            25
 Simplify   ——
            4 

Equation at the end of step  1  :

            25
  125000 • (——)23)
            4 

Step  2  :

 2.1     25 = 52

(25)²³ = (5²)²³ = 5⁴⁶  2.2     4 = 2² (4)²³ = (2²)²³ = 2⁴⁶

Equation at the end of step  2  :

           546
  125000 • ———
           246

Step  3  :

Multiplying exponents :

 3.1    5⁶  multiplied by  5⁴⁶   = 5^{(6 + 46)} = 5⁵²

Dividing exponents :

 3.2    2³   divided by   2⁴⁶   = 2^{(3 - 46)} = 2^(-43) = ¹/_2⁴³

Final result :

  552                                  
  ——— = 2.52435 • 1023 
  243