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  :

  (9 • (10-3)) • (5 • (25•55))

Step  2  :

Raising to a Power :

 2.1    5¹  multiplied by  5⁵   = 5^{(1 + 5)} = 5⁶

Equation at the end of step  2  :

  (9 • (10-3)) • (56•25)

Step  3  :

 3.1     10 = 2•5

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

Equation at the end of step  3  :

  (9 • ((2)(-3)•(5)(-3))) • (56•25)

Step  4  :

Equation at the end of step  4  :

    9 
  ———— • (56•25)
  1000

Step  5  :

Dividing exponents :

 5.1    5⁶   divided by   5³   = 5^{(6 - 3)} = 5³

Dividing exponents :

 5.2    2⁵   divided by   2³   = 2^{(5 - 3)} = 2²

Final result :

  4500