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  :

  (2 • (108)) • (2 • ((2)(-2)•(5)(-2)))

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
  (2 • (108)) • ——
                50

Step  3  :

 3.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  3  :

                   1
  (2 • (28•58)) • ——
                  50

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2⁸   = 2^{(1 + 8)} = 2⁹

Equation at the end of step  4  :

             1
  (29•58) • ——
            50

Step  5  :

Dividing exponents :

 5.1    2⁹   divided by   2¹   = 2^{(9 - 1)} = 2⁸

Dividing exponents :

 5.2    5⁸   divided by   5²   = 5^{(8 - 2)} = 5⁶

Final result :

  (28•56)