Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.4" was replaced by "(54/10)". 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  :

   1431       54
  (————•(103))——•(25•55))
   1000(      10

Step  2  :

            27
 Simplify   ——
            5 

Equation at the end of step  2  :

   1431             27
  (———— • (103)) ÷ (—— • (25•55))
   1000             5 

Step  3  :

Raising to a Power :

 3.1    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Equation at the end of step  3  :

   1431
  (———— • (103)) ÷ (33•25•54)
   1000

Step  4  :

 4.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  4  :

   1431
  (———— • (23•53)) ÷ (33•25•54)
   1000

Step  5  :

            1431
 Simplify   ————
            1000

Equation at the end of step  5  :

  1431
  ———— • (23•53)) ÷ (33•25•54)
  1000

Step  6  :

Canceling Out :

 6.1      Canceling out  2³ as it appears on both sides of the fraction line

Canceling Out :

 6.2      Canceling out  5³ as it appears on both sides of the fraction line

Equation at the end of step  6  :

Step  7  :

               1431   
 Simplify   ——————————
            (33•25•54) 

Canceling Out :

 7.1      Canceling out  3³ as it appears on both sides of the fraction line

Final result :

     53             
  ——————— = 0.00265 
  (25•54)