Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)". 1 more similar replacement(s)

(2): "1.2" was replaced by "(12/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   425          12
  (———•(10-8))•(——•((2)(-6)•(5)(-6)))
   100          10

Step  2  :

            6
 Simplify   —
            5

Equation at the end of step  2  :

   425              6
  (——— • (10-8)) • (— • ((2)(-6)•(5)(-6)))
   100              5

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5⁶   = 5^{(1 + 6)} = 5⁷

Raising to a Power :

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

Equation at the end of step  3  :

   425                3   
  (——— • (10-8)) • ———————
   100             (57•25)

Step  4  :

 4.1     10 = 2•5

(10)^-8 = (2•5)^(-8) = (2)^(-8) • (5)^(-8)

Equation at the end of step  4  :

   425                           3   
  (——— • ((2)(-8)•(5)(-8))) • ———————
   100                        (57•25)

Step  5  :

            17
 Simplify   ——
            4 

Equation at the end of step  5  :

   17                           3   
  (—— • ((2)(-8)•(5)(-8))) • ———————
   4                         (57•25)

Step  6  :

Multiplying exponents :

 6.1    2²  multiplied by  2⁸   = 2^{(2 + 8)} = 2¹⁰

Equation at the end of step  6  :

     17         3   
  ———————— • ———————
  (210•58)    (57•25)

Step  7  :

Multiplying exponents :

 7.1    2¹⁰  multiplied by  2⁵   = 2^{(10 + 5)} = 2¹⁵

Multiplying exponents :

 7.2    5⁸  multiplied by  5⁷   = 5^{(8 + 7)} = 5¹⁵

Final result :

      51                                      
  ————————— = 5.10000 • 10-14 
  (215•515)