Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

  (2 • (10-4)) • (6 • ((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  :

                    3   
  (2 • (10-4)) • ———————
                 (28•59)

Step  3  :

 3.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  3  :

                               3   
  (2 • ((2)(-4)•(5)(-4))) • ———————
                            (28•59)

Step  4  :

Dividing exponents :

 4.1    2¹   divided by   2⁴   = 2^{(1 - 4)} = 2^(-3) = ¹/_2³

Equation at the end of step  4  :

    1       3   
  ———— • ———————
  5000   (28•59)

Step  5  :

Multiplying exponents :

 5.1    2³  multiplied by  2⁸   = 2^{(3 + 8)} = 2¹¹

Multiplying exponents :

 5.2    5⁴  multiplied by  5⁹   = 5^{(4 + 9)} = 5¹³

Final result :

      3                                       
  ————————— = 1.20000 • 10-12 
  (211•513)