Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.282" was replaced by "(1282/1000)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  1282
  ———— • (23•53)
  1000

Step  2  :

            641
 Simplify   ———
            500

Equation at the end of step  2  :

  641
  ——— • (23•53)
  500

Step  3  :

Dividing exponents :

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

Canceling Out :

 3.2      Canceling out  5³ as it appears on both sides of the fraction line

Final result :

  1282