Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  (5 • (1010)) • (2 • ((2)(-9)•(5)(-9)))

Step  2  :

Raising to a Power :

 2.1    2¹   divided by   2⁹   = 2^{(1 - 9)} = 2^(-8) = ¹/_2⁸

Equation at the end of step  2  :

                    1   
  (5 • (1010)) • ———————
                 (28•59)

Step  3  :

 3.1     10 = 2•5

(10)¹⁰ = (2•5)¹⁰ = 2¹⁰ • 5¹⁰

Equation at the end of step  3  :

                       1   
  (5 • (210•510)) • ———————
                    (28•59)

Step  4  :

Multiplying exponents :

 4.1    5¹  multiplied by  5¹⁰   = 5^{(1 + 10)} = 5¹¹

Equation at the end of step  4  :

                 1   
  (511•210) • ———————
              (28•59)

Step  5  :

Dividing exponents :

 5.1    5¹¹   divided by   5⁹   = 5^{(11 - 9)} = 5²

Dividing exponents :

 5.2    2¹⁰   divided by   2⁸   = 2^{(10 - 8)} = 2²

Final result :

  100