Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.78" was replaced by "(578/100)". 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  :

   703         578
  (———•(104))-(———•(23•53))
   100         100

Step  2  :

            289
 Simplify   ———
            50 

Equation at the end of step  2  :

   703              289
  (——— • (104)) -  (——— • (23•53))
   100              50 

Step  3  :

Dividing exponents :

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

Raising to a Power :

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

Equation at the end of step  3  :

   703              
  (——— • (104)) -  5780
   100              

Step  4  :

 4.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  4  :

   703                 
  (——— • (24•54)) -  5780
   100                 

Step  5  :

            703
 Simplify   ———
            100

Equation at the end of step  5  :

   703                 
  (——— • (24•54)) -  5780
   100                 

Step  6  :

Dividing exponents :

 6.1    2⁴   divided by   2²   = 2^{(4 - 2)} = 2²

Dividing exponents :

 6.2    5⁴   divided by   5²   = 5^{(4 - 2)} = 5²

Equation at the end of step  6  :

  (19•37•22•52) -  5780

Step  7  :

Final result :

  703 - 5780