Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)". 1 more similar replacement(s)

(2): "5.7" was replaced by "(57/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)^-6 = (2•5)^(-6) = (2)^(-6) • (5)^(-6)

Equation at the end of step  1  :

    47         57
  ((——•(10-2))•——)•((2)(-6)•(5)(-6))
    10         10

Step  2  :

            57
 Simplify   ——
            10

Equation at the end of step  2  :

    47             57
  ((—— • (10-2)) • ——) • ((2)(-6)•(5)(-6))
    10             10

Step  3  :

 3.1     10 = 2•5

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

Equation at the end of step  3  :

    47                        57
  ((—— • ((2)(-2)•(5)(-2))) • ——) • ((2)(-6)•(5)(-6))
    10                        10

Step  4  :

            47
 Simplify   ——
            10

Equation at the end of step  4  :

    47                        57
  ((—— • ((2)(-2)•(5)(-2))) • ——) • ((2)(-6)•(5)(-6))
    10                        10

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2²   = 2^{(1 + 2)} = 2³

Multiplying exponents :

 5.2    5¹  multiplied by  5²   = 5^{(1 + 2)} = 5³

Equation at the end of step  5  :

    47    57
  (———— • ——) • ((2)(-6)•(5)(-6))
   1000   10

Step  6  :

Multiplying exponents :

 6.1    2⁴  multiplied by  2⁶   = 2^{(4 + 6)} = 2¹⁰

Multiplying exponents :

 6.2    5⁴  multiplied by  5⁶   = 5^{(4 + 6)} = 5¹⁰

Final result :

     2679                                    
  ————————— = 2.67900 • 10-7 
  (210•510)