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  :

Step  2  :

Dividing exponents :

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

Raising to a Power :

 2.2    5²   divided by   5⁹   = 5^{(2 - 9)} = 5^(-7) = ¹/_5⁷

Equation at the end of step  2  :

  8))11 
  ———————
  (28•57)

Step  3  :

 3.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  3  :

  8))11 
  ———————
  (28•57)

Step  4  :

Equation at the end of step  4  :

  8)11 
  ———————
  (28•57)

Step  5  :

                           11  
 Divide  (3•28•58)  by  ———————
                        (28•57)

Multiplying exponents :

 5.1    2⁸  multiplied by  2⁸   = 2^{(8 + 8)} = 2¹⁶

Multiplying exponents :

 5.2    5⁸  multiplied by  5⁷   = 5^{(8 + 7)} = 5¹⁵

Final result :

  (3•216•515)                                   
  ——————————— = 5.45455 • 1014 
      11