Solution - Raising to a power

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   164       2
  (———•(100))—•(22•52))
   100(      1

Step  2  :

            2
 Simplify   —
            1

Equation at the end of step  2  :

   164
  (——— • (100)) ÷ (2 • (22•52))
   100

Step  3  :

Raising to power zero :

 3.1    2¹  multiplied by  2²   = 2^{(1 + 2)} = 2³

Equation at the end of step  3  :

   164
  (——— • (100)) ÷ (23•52)
   100
 Step  4  :
            41
 Simplify   ——
            25

Equation at the end of step  4  :

  41
  —— • 1) ÷ (23•52)
  25

Step  5  :

         41      
 Divide  ——  by  (23•52)
         25      

Multiplying exponents :

 5.1    5²  multiplied by  5²   = 5^{(2 + 2)} = 5⁴

Final result :

   41            
  ———— = 0.00820 
  5000