Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.8" was replaced by "(18/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)^-1 = (2•5)^(-1) = (2)^(-1) • (5)^(-1)

Equation at the end of step  1  :

   3844 18
  (————•——)•((2)(-1)•(5)(-1))
   1000 10

Step  2  :

            9
 Simplify   —
            5

Equation at the end of step  2  :

   3844   9
  (———— • —) • ((2)(-1)•(5)(-1))
   1000   5

Step  3  :

 3.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  3  :

   3844   9
  (———— • —) • ((2)(-1)•(5)(-1))
   1000   5

Step  4  :

                      9
 Divide  (28•58)  by  —
                      5

Multiplying exponents :

 4.1    5⁸  multiplied by  5¹   = 5^{(8 + 1)} = 5⁹

Equation at the end of step  4  :

   3844   (28•59)
  (———— • ———————) • ((2)(-1)•(5)(-1))
   1000      9   

Step  5  :

            961
 Simplify   ———
            250

Equation at the end of step  5  :

   961   (28•59)
  (——— • ———————) • ((2)(-1)•(5)(-1))
   250      9   

Step  6  :

Dividing exponents :

 6.1    2⁸   divided by   2¹   = 2^{(8 - 1)} = 2⁷

Dividing exponents :

 6.2    5⁹   divided by   5³   = 5^{(9 - 3)} = 5⁶

Equation at the end of step  6  :

  (312•27•56) 
  ——————————— • ((2)(-1)•(5)(-1))
       9     

Step  7  :

Dividing exponents :

 7.1    2⁷   divided by   2¹   = 2^{(7 - 1)} = 2⁶

Dividing exponents :

 7.2    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Final result :

  (312•26•55)                                  
  ——————————— = 2.13556 • 107 
       9