Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.7" was replaced by "(27/10)". 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  :

   42         27
  (——•(103))-(——•(23•53))
   10         10

Step  2  :

            27
 Simplify   ——
            10

Equation at the end of step  2  :

   42              27
  (—— • (103)) -  (—— • (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  :

   42              
  (—— • (103)) -  2700
   10              

Step  4  :

 4.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  4  :

   42                 
  (—— • (23•53)) -  2700
   10                 

Step  5  :

            21
 Simplify   ——
            5 

Equation at the end of step  5  :

   21                 
  (—— • (23•53)) -  2700
   5                  

Step  6  :

Dividing exponents :

 6.1    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  6  :

  4200 -  2700

Step  7  :

Final result :

  1500