Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.8" was replaced by "(18/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

   18
  (—— • (108)) ÷ (15 • (25•55))
   10

Step  2  :

Raising to a Power :

 2.1    5¹  multiplied by  5⁵   = 5^{(1 + 5)} = 5⁶

Equation at the end of step  2  :

   18
  (—— • (108)) ÷ (3•56•25)
   10

Step  3  :

 3.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  3  :

   18
  (—— • (28•58)) ÷ (3•56•25)
   10

Step  4  :

            9
 Simplify   —
            5

Equation at the end of step  4  :

  9
  — • (28•58)) ÷ (3•56•25)
  5

Step  5  :

Dividing exponents :

 5.1    5⁸   divided by   5¹   = 5^{(8 - 1)} = 5⁷

Equation at the end of step  5  :

Step  6  :

            (32•28•57)
 Simplify   ——————————
            (3•56•25) 

Dividing exponents :

 6.1    3²   divided by   3¹   = 3^{(2 - 1)} = 3¹ = 3

Dividing exponents :

 6.2    2⁸   divided by   2⁵   = 2^{(8 - 5)} = 2³

Dividing exponents :

 6.3    5⁷   divided by   5⁶   = 5^{(7 - 6)} = 5¹ = 5

Final result :

  120