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

Equation at the end of step  1  :

Step  2  :

Raising to a Power :

 2.1    2¹   divided by   2²   = 2^{(1 - 2)} = 2^(-1) = ¹/_2¹ = ¹/₂

Equation at the end of step  2  :

  )1
  ——
  50

Step  3  :

 3.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  3  :

  )1
  ——
  50

Step  4  :

Multiplying exponents :

 4.1    2²  multiplied by  2⁷   = 2^{(2 + 7)} = 2⁹

Equation at the end of step  4  :

  )1
  ——
  50

Step  5  :

                       1
 Divide  (29•57)  by  ——
                      50

Multiplying exponents :

 5.1    2⁹  multiplied by  2¹   = 2^{(9 + 1)} = 2¹⁰

Multiplying exponents :

 5.2    5⁷  multiplied by  5²   = 5^{(7 + 2)} = 5⁹

Final result :

  (210•59)