Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.02" was replaced by "(102/100)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  102
  ——— • (23•53)
  100

Step  2  :

            51
 Simplify   ——
            50

Equation at the end of step  2  :

  51
  —— • (23•53)
  50

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Dividing exponents :

 3.2    5³   divided by   5²   = 5^{(3 - 2)} = 5¹ = 5

Final result :

  1020