Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.2" was replaced by "(82/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

   925       82
  (———•(102))——•(24•54))
   100(      10

Step  2  :

            41
 Simplify   ——
            5 

Equation at the end of step  2  :

   925             41
  (——— • (102)) ÷ (—— • (24•54))
   100             5 

Step  3  :

Raising to a Power :

 3.1    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Equation at the end of step  3  :

   925
  (——— • (102)) ÷ (41•24•53)
   100

Step  4  :

 4.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  4  :

   925
  (——— • (22•52)) ÷ (41•24•53)
   100

Step  5  :

            37
 Simplify   ——
            4 

Equation at the end of step  5  :

  37
  —— • (22•52)) ÷ (41•24•53)
  4 

Step  6  :

Canceling Out :

 6.1      Canceling out  2² as it appears on both sides of the fraction line

Equation at the end of step  6  :

Step  7  :

                925   
 Simplify   ——————————
            (41•24•53)

Dividing exponents :

 7.1    5²   divided by   5³   = 5^{(2 - 3)} = 5^(-1) = ¹/_5¹ = ¹/₅

Final result :

   37            
  ———— = 0.01128 
  3280