Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-27" was replaced by "^(-27)".

Step  1  :

 1.1     10 = 2•5

(10)^-27 = (2•5)^(-27) = (2)^(-27) • (5)^(-27)

Equation at the end of step  1  :

  (1058) • ((2)(-27)•(5)(-27))

Step  2  :

 2.1     10 = 2•5

(10)⁵⁸ = (2•5)⁵⁸ = 2⁵⁸ • 5⁵⁸

Equation at the end of step  2  :

  (258•558) • ((2)(-27)•(5)(-27))

Step  3  :

Dividing exponents :

 3.1    2⁵⁸   divided by   2²⁷   = 2^{(58 - 27)} = 2³¹

Dividing exponents :

 3.2    5⁵⁸   divided by   5²⁷   = 5^{(58 - 27)} = 5³¹

Final result :

  (231•531)