Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.12" was replaced by "(312/100)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

   26 312
  (——•———)•(28•58)
   10 100

Step  2  :

            78
 Simplify   ——
            25

Equation at the end of step  2  :

   26   78
  (—— • ——) • (28•58)
   10   25

Step  3  :

 3.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  3  :

   26   78
  (—— • ——) • (28•58)
   10   25

Step  4  :

                      78
 Divide  (25•55)  by  ——
                      25

Multiplying exponents :

 4.1    5⁵  multiplied by  5²   = 5^{(5 + 2)} = 5⁷

Dividing exponents :

 4.2    2⁵   divided by   2¹   = 2^{(5 - 1)} = 2⁴

Equation at the end of step  4  :

   26   (24•57)
  (—— • ———————) • (28•58)
   10     39   

Step  5  :

            13
 Simplify   ——
            5 

Equation at the end of step  5  :

   13   (24•57)
  (—— • ———————) • (28•58)
   5      39   

Step  6  :

Canceling Out :

 6.1      Canceling out  13  as it appears on both sides of the fraction line

Dividing exponents :

 6.2    5⁷   divided by   5¹   = 5^{(7 - 1)} = 5⁶

Equation at the end of step  6  :

  (24•56)
  ——————— • (28•58)
     3   

Step  7  :

Multiplying exponents :

 7.1    2⁴  multiplied by  2⁸   = 2^{(4 + 8)} = 2¹²

Multiplying exponents :

 7.2    5⁶  multiplied by  5⁸   = 5^{(6 + 8)} = 5¹⁴

Final result :

  (212•514)                                   
  ————————— = 8.33333 • 1012 
      3