Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.02" was replaced by "(302/100)". 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  :

   355         302
  (———•(105))-(———•(23•53))
   100         100

Step  2  :

            151
 Simplify   ———
            50 

Equation at the end of step  2  :

   355              151
  (——— • (105)) -  (——— • (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  :

   355              
  (——— • (105)) -  3020
   100              

Step  4  :

 4.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  4  :

   355                 
  (——— • (25•55)) -  3020
   100                 

Step  5  :

            71
 Simplify   ——
            20

Equation at the end of step  5  :

   71                 
  (—— • (25•55)) -  3020
   20                 

Step  6  :

Dividing exponents :

 6.1    2⁵   divided by   2²   = 2^{(5 - 2)} = 2³

Dividing exponents :

 6.2    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Equation at the end of step  6  :

  (71•23•54) -  3020

Step  7  :

Final result :

  71 - 3020