Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

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

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

   15          12
  (——•(10-4))•(——•(25•55))
   10          10

Step  2  :

            6
 Simplify   —
            5

Equation at the end of step  2  :

   15              6
  (—— • (10-4)) • (— • (25•55))
   10              5

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁵   = 2^{(1 + 5)} = 2⁶

Raising to a Power :

 3.2    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Equation at the end of step  3  :

   15
  (—— • (10-4)) • (26•3•54)
   10

Step  4  :

 4.1     10 = 2•5

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

Equation at the end of step  4  :

   15
  (—— • ((2)(-4)•(5)(-4))) • (26•3•54)
   10

Step  5  :

            3
 Simplify   —
            2

Equation at the end of step  5  :

   3
  (— • ((2)(-4)•(5)(-4))) • (26•3•54)
   2

Step  6  :

Multiplying exponents :

 6.1    2¹  multiplied by  2⁴   = 2^{(1 + 4)} = 2⁵

Equation at the end of step  6  :

     3   
  ——————— • (26•3•54)
  (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

Canceling Out :

 7.3      Canceling out  5⁴ as it appears on both sides of the fraction line

Final result :

  18