Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-5" was replaced by "^(-5)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  ((2 • (1011)) • 11) • ((2)(-5)•(5)(-5))

Step  2  :

 2.1     10 = 2•5

(10)¹¹ = (2•5)¹¹ = 2¹¹ • 5¹¹

Equation at the end of step  2  :

  ((2 • (211•511)) • 11) • ((2)(-5)•(5)(-5))

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2¹¹   = 2^{(1 + 11)} = 2¹²

Equation at the end of step  3  :

  ((212•511) • 11) • ((2)(-5)•(5)(-5))

Step  4  :

Equation at the end of step  4  :

  (212•511•11) • ((2)(-5)•(5)(-5))

Step  5  :

Dividing exponents :

 5.1    2¹²   divided by   2⁵   = 2^{(12 - 5)} = 2⁷

Dividing exponents :

 5.2    5¹¹   divided by   5⁵   = 5^{(11 - 5)} = 5⁶

Final result :

  (27•56•11)