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  :

Step  2  :

Dividing exponents :

 2.1    5¹   divided by   5⁵   = 5^{(1 - 5)} = 5^(-4) = ¹/_5⁴

Equation at the end of step  2  :

  38001  
  ———————
  (25•54)

Step  3  :

                      1   
 Divide  3800  by  ———————
                   (25•54)

Multiplying exponents :

 3.1    2³  multiplied by  2⁵   = 2^{(3 + 5)} = 2⁸

Multiplying exponents :

 3.2    5²  multiplied by  5⁴   = 5^{(2 + 4)} = 5⁶

Final result :

  (28•56•19)