Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.2" was replaced by "(12/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   373          12
  (———•(10-1))•(——•(22•52))
   100          10

Step  2  :

            6
 Simplify   —
            5

Equation at the end of step  2  :

   373              6
  (——— • (10-1)) • (— • (22•52))
   100              5

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2²   = 2^{(1 + 2)} = 2³

Raising to a Power :

 3.2    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  3  :

   373
  (——— • (10-1)) • 120
   100

Step  4  :

 4.1     10 = 2•5

(10)^-1 = (2•5)^(-1) = (2)^(-1) • (5)^(-1)

Equation at the end of step  4  :

   373
  (——— • ((2)(-1)•(5)(-1))) • 120
   100

Step  5  :

            373
 Simplify   ———
            100

Equation at the end of step  5  :

   373
  (——— • ((2)(-1)•(5)(-1))) • 120
   100

Step  6  :

Multiplying exponents :

 6.1    2²  multiplied by  2¹   = 2^{(2 + 1)} = 2³

Multiplying exponents :

 6.2    5²  multiplied by  5¹   = 5^{(2 + 1)} = 5³

Equation at the end of step  6  :

   373
  ———— • 120
  1000

Step  7  :

Final result :

  1119            
  ———— = 44.76000 
   25