Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.40625" was replaced by "(140625/100000)".

Step  1  :

 1.1     10 = 2•5

(10)²⁶ = (2•5)²⁶ = 2²⁶ • 5²⁶

Equation at the end of step  1  :

       140625
  8 • (—————— • (226•526))
       100000

Step  2  :

            45
 Simplify   ——
            32

Equation at the end of step  2  :

       45
  8 • (—— • (226•526))
       32

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5²⁶   = 5^{(1 + 26)} = 5²⁷

Dividing exponents :

 3.2    2²⁶   divided by   2⁵   = 2^{(26 - 5)} = 2²¹

Equation at the end of step  3  :

  8 • (32•527•221)

Step  4  :

Multiplying exponents :

 4.1    2³  multiplied by  2²¹   = 2^{(3 + 21)} = 2²⁴

Final result :

  (224•32•527)