Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.7" was replaced by "(37/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

   92 37
  (——•——)•(29•59)
   10 10

Step  2  :

            37
 Simplify   ——
            10

Equation at the end of step  2  :

   92   37
  (—— • ——) • (29•59)
   10   10

Step  3  :

 3.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  3  :

   92   37
  (—— • ——) • (29•59)
   10   10

Step  4  :

                      37
 Divide  (27•57)  by  ——
                      10

Multiplying exponents :

 4.1    2⁷  multiplied by  2¹   = 2^{(7 + 1)} = 2⁸

Multiplying exponents :

 4.2    5⁷  multiplied by  5¹   = 5^{(7 + 1)} = 5⁸

Equation at the end of step  4  :

   92   (28•58)
  (—— • ———————) • (29•59)
   10     37   

Step  5  :

            46
 Simplify   ——
            5 

Equation at the end of step  5  :

   46   (28•58)
  (—— • ———————) • (29•59)
   5      37   

Step  6  :

Multiplying exponents :

 6.1    2¹  multiplied by  2⁸   = 2^{(1 + 8)} = 2⁹

Dividing exponents :

 6.2    5⁸   divided by   5¹   = 5^{(8 - 1)} = 5⁷

Equation at the end of step  6  :

  (29•23•57)
  —————————— • (29•59)
      37    

Step  7  :

Multiplying exponents :

 7.1    2⁹  multiplied by  2⁹   = 2^{(9 + 9)} = 2¹⁸

Multiplying exponents :

 7.2    5⁷  multiplied by  5⁹   = 5^{(7 + 9)} = 5¹⁶

Final result :

  (218•23•516)                                   
  ———————————— = 2.48649 • 1016 
       37