Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.97" was replaced by "(397/100)". 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  :

   649         397
  (———•(103))-(———•(23•53))
   100         100

Step  2  :

            397
 Simplify   ———
            100

Equation at the end of step  2  :

   649              397
  (——— • (103)) -  (——— • (23•53))
   100              100

Step  3  :

Dividing exponents :

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

Raising to a Power :

 3.2    5³   divided by   5²   = 5^{(3 - 2)} = 5¹ = 5

Equation at the end of step  3  :

   649              
  (——— • (103)) -  3970
   100              

Step  4  :

 4.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  4  :

   649                 
  (——— • (23•53)) -  3970
   100                 

Step  5  :

            649
 Simplify   ———
            100

Equation at the end of step  5  :

   649                 
  (——— • (23•53)) -  3970
   100                 

Step  6  :

Dividing exponents :

 6.1    2³   divided by   2²   = 2^{(3 - 2)} = 2¹ = 2

Dividing exponents :

 6.2    5³   divided by   5²   = 5^{(3 - 2)} = 5¹ = 5

Equation at the end of step  6  :

  6490 -  3970

Step  7  :

Final result :

  2520