Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)". 1 more similar replacement(s)

(2): "7.4" was replaced by "(74/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   913          74
  (———•(10-4))•(——•((2)(-2)•(5)(-2)))
   100          10

Step  2  :

            37
 Simplify   ——
            5 

Equation at the end of step  2  :

   913              37
  (——— • (10-4)) • (—— • ((2)(-2)•(5)(-2)))
   100              5 

Step  3  :

Raising to a Power :

 3.1    5¹  multiplied by  5²   = 5^{(1 + 2)} = 5³

Equation at the end of step  3  :

   913              37
  (——— • (10-4)) • ———
   100             500

Step  4  :

 4.1     10 = 2•5

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

Equation at the end of step  4  :

   913                         37
  (——— • ((2)(-4)•(5)(-4))) • ———
   100                        500

Step  5  :

            913
 Simplify   ———
            100

Equation at the end of step  5  :

   913                         37
  (——— • ((2)(-4)•(5)(-4))) • ———
   100                        500

Step  6  :

Multiplying exponents :

 6.1    2²  multiplied by  2⁴   = 2^{(2 + 4)} = 2⁶

Multiplying exponents :

 6.2    5²  multiplied by  5⁴   = 5^{(2 + 4)} = 5⁶

Equation at the end of step  6  :

    913      37
  ——————— • ———
  (26•56)   500

Step  7  :

Multiplying exponents :

 7.1    2⁶  multiplied by  2²   = 2^{(6 + 2)} = 2⁸

Multiplying exponents :

 7.2    5⁶  multiplied by  5³   = 5^{(6 + 3)} = 5⁹

Final result :

  (11•37•83)           
  —————————— = 0.00007 
   (28•59)