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  :

  (3 • (106)) • (5 • ((2)(-2)•(5)(-2)))

Step  2  :

Raising to a Power :

 2.1    5¹   divided by   5²   = 5^{(1 - 2)} = 5^(-1) = ¹/_5¹ = ¹/₅

Equation at the end of step  2  :

                 1
  (3 • (106)) • ——
                20

Step  3  :

 3.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  3  :

                   1
  (3 • (26•56)) • ——
                  20

Step  4  :

Equation at the end of step  4  :

               1
  (3•26•56) • ——
              20

Step  5  :

Dividing exponents :

 5.1    2⁶   divided by   2²   = 2^{(6 - 2)} = 2⁴

Dividing exponents :

 5.2    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Final result :

  (3•24•55)