Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.7" was replaced by "(67/10)". 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  :

   98         67
  (——•(105))-(——•(23•53))
   10         10

Step  2  :

            67
 Simplify   ——
            10

Equation at the end of step  2  :

   98              67
  (—— • (105)) -  (—— • (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  :

   98              
  (—— • (105)) -  6700
   10              

Step  4  :

 4.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  4  :

   98                 
  (—— • (25•55)) -  6700
   10                 

Step  5  :

            49
 Simplify   ——
            5 

Equation at the end of step  5  :

   49                 
  (—— • (25•55)) -  6700
   5                  

Step  6  :

Dividing exponents :

 6.1    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Equation at the end of step  6  :

  (72•25•54) -  6700

Step  7  :

Final result :

  49 - 6700