Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

(2): "1.232" was replaced by "(1232/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-6 = (2•5)^(-6) = (2)^(-6) • (5)^(-6)

Equation at the end of step  1  :

   1232
  (———— • ((2)(-6)•(5)(-6))) • 10000
   1000

Step  2  :

            154
 Simplify   ———
            125

Equation at the end of step  2  :

   154
  (——— • ((2)(-6)•(5)(-6))) • 10000
   125

Step  3  :

Multiplying exponents :

 3.1    5³  multiplied by  5⁶   = 5^{(3 + 6)} = 5⁹

Dividing exponents :

 3.2    2¹   divided by   2⁶   = 2^{(1 - 6)} = 2^(-5) = ¹/_2⁵

Equation at the end of step  3  :

     77  
  ——————— • 10000
  (59•25)

Step  4  :

Dividing exponents :

 4.1    2⁴   divided by   2⁵   = 2^{(4 - 5)} = 2^(-1) = ¹/_2¹ = ¹/₂

Dividing exponents :

 4.2    5⁴   divided by   5⁹   = 5^{(4 - 9)} = 5^(-5) = ¹/_5⁵

Final result :

   77            
  ———— = 0.01232 
  6250