Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  (104) • ((2)(-1)•(5)(-1))

Step  2  :

 2.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  2  :

  (24•54) • ((2)(-1)•(5)(-1))

Step  3  :

Dividing exponents :

 3.1    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Dividing exponents :

 3.2    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Final result :

  1000