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     4 = 22

(4)^-5 = (2²)^(-5) = (2)^(-10)

Equation at the end of step  1  :

  (47) • (2)(-10)

Step  2  :

 2.1     4 = 22

(4)⁷ = (2²)⁷ = 2¹⁴

Equation at the end of step  2  :

  214 • (2)(-10)

Step  3  :

Dividing exponents :

 3.1    2¹⁴   divided by   2¹⁰   = 2^{(14 - 10)} = 2⁴

Final result :

  16