Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.5" was replaced by "(15/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   57         15
  (——•(107))•(——•((2)(-4)•(5)(-4)))
   10         10

Step  2  :

            3
 Simplify   —
            2

Equation at the end of step  2  :

   57             3
  (—— • (107)) • (— • ((2)(-4)•(5)(-4)))
   10             2

Step  3  :

Raising to a Power :

 3.1    2¹  multiplied by  2⁴   = 2^{(1 + 4)} = 2⁵

Equation at the end of step  3  :

   57               3   
  (—— • (107)) • ———————
   10            (25•54)

Step  4  :

 4.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  4  :

   57                 3   
  (—— • (27•57)) • ———————
   10              (25•54)

Step  5  :

            57
 Simplify   ——
            10

Equation at the end of step  5  :

   57                 3   
  (—— • (27•57)) • ———————
   10              (25•54)

Step  6  :

Dividing exponents :

 6.1    2⁷   divided by   2¹   = 2^{(7 - 1)} = 2⁶

Dividing exponents :

 6.2    5⁷   divided by   5¹   = 5^{(7 - 1)} = 5⁶

Equation at the end of step  6  :

                    3   
  (3•19•26•56) • ———————
                 (25•54)

Step  7  :

Multiplying exponents :

 7.1    3¹  multiplied by  3¹   = 3^{(1 + 1)} = 3²

Dividing exponents :

 7.2    2⁶   divided by   2⁵   = 2^{(6 - 5)} = 2¹ = 2

Dividing exponents :

 7.3    5⁶   divided by   5⁴   = 5^{(6 - 4)} = 5²

Final result :

  8550