Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.2" was replaced by "(42/10)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   42              
  (—— • (108)) -  (2 • (23•53))
   10              

Step  2  :

Raising to a Power :

 2.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Equation at the end of step  2  :

   42              
  (—— • (108)) -  (24•53)
   10              

Step  3  :

 3.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  3  :

   42                 
  (—— • (28•58)) -  (24•53)
   10                 

Step  4  :

            21
 Simplify   ——
            5 

Equation at the end of step  4  :

   21                 
  (—— • (28•58)) -  (24•53)
   5                  

Step  5  :

Dividing exponents :

 5.1    5⁸   divided by   5¹   = 5^{(8 - 1)} = 5⁷

Equation at the end of step  5  :

  (3•7•28•57) -  (24•53)

Step  6  :

Final result :

  21 - 2000