Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)".

(2): "9.8" was replaced by "(98/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   98
  (—— • (107)) • (4 • ((2)(-4)•(5)(-4)))
   10

Step  2  :

Raising to a Power :

 2.1    2²   divided by   2⁴   = 2^{(2 - 4)} = 2^(-2) = ¹/_2²

Equation at the end of step  2  :

   98              1 
  (—— • (107)) • ————
   10            2500

Step  3  :

 3.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  3  :

   98                1 
  (—— • (27•57)) • ————
   10              2500

Step  4  :

            49
 Simplify   ——
            5 

Equation at the end of step  4  :

   49                1 
  (—— • (27•57)) • ————
   5               2500

Step  5  :

Dividing exponents :

 5.1    5⁷   divided by   5¹   = 5^{(7 - 1)} = 5⁶

Equation at the end of step  5  :

                 1 
  (72•27•56) • ————
               2500

Step  6  :

Dividing exponents :

 6.1    2⁷   divided by   2²   = 2^{(7 - 2)} = 2⁵

Dividing exponents :

 6.2    5⁶   divided by   5⁴   = 5^{(6 - 4)} = 5²

Final result :

  (72•25•52)