Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5." was replaced by "(5/1)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

   3       5
  (—•(108))—•(25•55))
   1(      1

Step  2  :

            5
 Simplify   —
            1

Equation at the end of step  2  :

   3
  (— • (108)) ÷ (5 • (25•55))
   1

Step  3  :

Raising to a Power :

 3.1    5¹  multiplied by  5⁵   = 5^{(1 + 5)} = 5⁶

Equation at the end of step  3  :

   3
  (— • (108)) ÷ (56•25)
   1

Step  4  :

 4.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  4  :

   3
  (— • (28•58)) ÷ (56•25)
   1

Step  5  :

            3
 Simplify   —
            1

Equation at the end of step  5  :

  (3 • (28•58))
  —————————————
     (56•25)   

Step  6  :

Equation at the end of step  6  :

Step  7  :

            (3•28•58)
 Simplify   —————————
             (56•25) 

Dividing exponents :

 7.1    2⁸   divided by   2⁵   = 2^{(8 - 5)} = 2³

Dividing exponents :

 7.2    5⁸   divided by   5⁶   = 5^{(8 - 6)} = 5²

Final result :

  600