Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.025" was replaced by "(025/1000)".

Step  1  :

             1
 Simplify   ——
            40

Equation at the end of step  1  :

                  1
  (20 • (106)) • ——
                 40

Step  2  :

 2.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  2  :

                    1
  (20 • (26•56)) • ——
                   40

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2⁶   = 2^{(2 + 6)} = 2⁸

Multiplying exponents :

 3.2    5¹  multiplied by  5⁶   = 5^{(1 + 6)} = 5⁷

Equation at the end of step  3  :

             1
  (28•57) • ——
            40

Step  4  :

Dividing exponents :

 4.1    2⁸   divided by   2³   = 2^{(8 - 3)} = 2⁵

Dividing exponents :

 4.2    5⁷   divided by   5¹   = 5^{(7 - 1)} = 5⁶

Final result :

  (25•56)