Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.5" was replaced by "(25/10)". 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  :

   51         25
  (——•(105))-(——•(23•53))
   10         10

Step  2  :

            5
 Simplify   —
            2

Equation at the end of step  2  :

   51              5
  (—— • (105)) -  (— • (23•53))
   10              2

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5³   = 5^{(1 + 3)} = 5⁴

Raising to a Power :

 3.2    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Equation at the end of step  3  :

   51              
  (—— • (105)) -  2500
   10              

Step  4  :

 4.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  4  :

   51                 
  (—— • (25•55)) -  2500
   10                 

Step  5  :

            51
 Simplify   ——
            10

Equation at the end of step  5  :

   51                 
  (—— • (25•55)) -  2500
   10                 

Step  6  :

Dividing exponents :

 6.1    2⁵   divided by   2¹   = 2^{(5 - 1)} = 2⁴

Dividing exponents :

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

Equation at the end of step  6  :

  (3•17•24•54) -  2500

Step  7  :

Final result :

  51 - 2500