Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-8" was replaced by "^(-8)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  (8 • (104)) • (9 • ((2)(-8)•(5)(-8)))

Step  2  :

Equation at the end of step  2  :

                   9   
  (8 • (104)) • ———————
                (28•58)

Step  3  :

 3.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  3  :

                     9   
  (8 • (24•54)) • ———————
                  (28•58)

Step  4  :

Multiplying exponents :

 4.1    2³  multiplied by  2⁴   = 2^{(3 + 4)} = 2⁷

Equation at the end of step  4  :

               9   
  (27•54) • ———————
            (28•58)

Step  5  :

Dividing exponents :

 5.1    2⁷   divided by   2⁸   = 2^{(7 - 8)} = 2^(-1) = ¹/_2¹ = ¹/₂

Dividing exponents :

 5.2    5⁴   divided by   5⁸   = 5^{(4 - 8)} = 5^(-4) = ¹/_5⁴

Final result :

    9            
  ———— = 0.00720 
  1250