Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-3" was replaced by "^(-3)".

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

  (10-3) • (28•58)

Step  2  :

 2.1     10 = 2•5

(10)^-3 = (2•5)^(-3) = (2)^(-3) • (5)^(-3)

Equation at the end of step  2  :

  ((2)(-3)•(5)(-3)) • (28•58)

Step  3  :

Dividing exponents :

 3.1    2⁸   divided by   2³   = 2^{(8 - 3)} = 2⁵

Dividing exponents :

 3.2    5⁸   divided by   5³   = 5^{(8 - 3)} = 5⁵

Final result :

  (25•55)