Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-9" was replaced by "^(-9)".

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

Step  1  :

 1.1     10 = 2•5

(10)^-9 = (2•5)^(-9) = (2)^(-9) • (5)^(-9)

Equation at the end of step  1  :

      25          2
  (0-(——•(101)))•(—•((2)(-9)•(5)(-9)))
      10          1

Step  2  :

            2
 Simplify   —
            1

Equation at the end of step  2  :

      25
  (0-(——•(101)))•(2•((2)(-9)•(5)(-9)))
      10

Step  3  :

Raising to a Power :

 3.1    2¹   divided by   2⁹   = 2^{(1 - 9)} = 2^(-8) = ¹/_2⁸

Equation at the end of step  3  :

         25                1   
  (0 -  (—— • (101))) • ———————
         10             (28•59)

Step  4  :

 4.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  4  :

         25                1   
  (0 -  (—— • (2•5))) • ———————
         10             (28•59)

Step  5  :

            5
 Simplify   —
            2

Equation at the end of step  5  :

         5                1   
  (0 -  (— • (2•5))) • ———————
         2             (28•59)

Step  6  :

Multiplying exponents :

 6.1    5¹  multiplied by  5¹   = 5^{(1 + 1)} = 5²

Canceling Out :

 6.2      Canceling out  2  as it appears on both sides of the fraction line

Equation at the end of step  6  :

                 1   
  (0 -  25) • ———————
              (28•59)

Step  7  :

Dividing exponents :

 7.1    5²   divided by   5⁹   = 5^{(2 - 9)} = 5^(-7) = ¹/_5⁷

Final result :

     -1                                     
  ——————— = -5.00000 • 10-8 
  (28•57)