Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

(2): "1.5" was replaced by "(15/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

   15
  (—— • (10-6)) • (4 • (29•59))
   10

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2⁹   = 2^{(2 + 9)} = 2¹¹

Equation at the end of step  2  :

   15
  (—— • (10-6)) • (211•59)
   10

Step  3  :

 3.1     10 = 2•5

(10)^-6 = (2•5)^(-6) = (2)^(-6) • (5)^(-6)

Equation at the end of step  3  :

   15
  (—— • ((2)(-6)•(5)(-6))) • (211•59)
   10

Step  4  :

            3
 Simplify   —
            2

Equation at the end of step  4  :

   3
  (— • ((2)(-6)•(5)(-6))) • (211•59)
   2

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2⁶   = 2^{(1 + 6)} = 2⁷

Equation at the end of step  5  :

     3   
  ——————— • (211•59)
  (27•56)

Step  6  :

Dividing exponents :

 6.1    2¹¹   divided by   2⁷   = 2^{(11 - 7)} = 2⁴

Dividing exponents :

 6.2    5⁹   divided by   5⁶   = 5^{(9 - 6)} = 5³

Final result :

  6000