Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.5" was replaced by "(45/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

   45
  (—— • (107)) ÷ (2 • (25•55))
   10

Step  2  :

Raising to a Power :

 2.1    2¹  multiplied by  2⁵   = 2^{(1 + 5)} = 2⁶

Equation at the end of step  2  :

   45
  (—— • (107)) ÷ (26•55)
   10

Step  3  :

 3.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  3  :

   45
  (—— • (27•57)) ÷ (26•55)
   10

Step  4  :

            9
 Simplify   —
            2

Equation at the end of step  4  :

  9
  — • (27•57)) ÷ (26•55)
  2

Step  5  :

Dividing exponents :

 5.1    2⁷   divided by   2¹   = 2^{(7 - 1)} = 2⁶

Equation at the end of step  5  :

Step  6  :

            (32•26•57)
 Simplify   ——————————
             (26•55)  

Canceling Out :

 6.1      Canceling out  2⁶ as it appears on both sides of the fraction line

Dividing exponents :

 6.2    5⁷   divided by   5⁵   = 5^{(7 - 5)} = 5²

Final result :

  225