Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.7" was replaced by "(57/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   39         57
  (——•(104))-(——•(23•53))
   10         10

Step  2  :

            57
 Simplify   ——
            10

Equation at the end of step  2  :

   39              57
  (—— • (104)) -  (—— • (23•53))
   10              10

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Raising to a Power :

 3.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  3  :

   39              
  (—— • (104)) -  5700
   10              

Step  4  :

 4.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  4  :

   39                 
  (—— • (24•54)) -  5700
   10                 

Step  5  :

            39
 Simplify   ——
            10

Equation at the end of step  5  :

   39                 
  (—— • (24•54)) -  5700
   10                 

Step  6  :

Dividing exponents :

 6.1    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Dividing exponents :

 6.2    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Equation at the end of step  6  :

  (3•13•23•53) -  5700

Step  7  :

Step  8  :

Pulling out like terms :

 8.1     Pull out like factors :

   3 • 13 • 2³ • 5³ - 5700  =   3 • (13 - 1900) 

Final result :

  3 • (13 - 1900)