Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

  (2 • (10-2)) • (4 • (29•59))

Step  2  :

Raising to a Power :

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

Equation at the end of step  2  :

  (2 • (10-2)) • (211•59)

Step  3  :

 3.1     10 = 2•5

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

Equation at the end of step  3  :

  (2 • ((2)(-2)•(5)(-2))) • (211•59)

Step  4  :

Dividing exponents :

 4.1    2¹   divided by   2²   = 2^{(1 - 2)} = 2^(-1) = ¹/_2¹ = ¹/₂

Equation at the end of step  4  :

   1
  —— • (211•59)
  50

Step  5  :

Dividing exponents :

 5.1    2¹¹   divided by   2¹   = 2^{(11 - 1)} = 2¹⁰

Dividing exponents :

 5.2    5⁹   divided by   5²   = 5^{(9 - 2)} = 5⁷

Final result :

  (210•57)