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)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

  (3 • (10-3)) • (4 • (25•55))

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2⁵   = 2^{(2 + 5)} = 2⁷

Equation at the end of step  2  :

  (3 • (10-3)) • (27•55)

Step  3  :

 3.1     10 = 2•5

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

Equation at the end of step  3  :

  (3 • ((2)(-3)•(5)(-3))) • (27•55)

Step  4  :

Equation at the end of step  4  :

    3 
  ———— • (27•55)
  1000

Step  5  :

Dividing exponents :

 5.1    2⁷   divided by   2³   = 2^{(7 - 3)} = 2⁴

Dividing exponents :

 5.2    5⁵   divided by   5³   = 5^{(5 - 3)} = 5²

Final result :

  1200