Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.8" was replaced by "(18/10)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

  18
  —— • (10(2^2•5^2))
  10

Step  2  :

 2.1     10 = 2•5

(10)¹⁰⁰ = (2•5)¹⁰⁰ = 2¹⁰⁰ • 5¹⁰⁰

Equation at the end of step  2  :

  18
  —— • (2100•5100)
  10

Step  3  :

            9
 Simplify   —
            5

Equation at the end of step  3  :

  9
  — • (2100•5100)
  5

Step  4  :

Dividing exponents :

 4.1    5¹⁰⁰   divided by   5¹   = 5^{(100 - 1)} = 5⁹⁹

Final result :

  (32•2100•599)