Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

Step  2  :

Equation at the end of step  2  :

Step  3  :

Equation at the end of step  3  :

Step  4  :

            (5•172)
 Simplify   ———————
            (23•53)

Dividing exponents :

 4.1    5¹   divided by   5³   = 5^{(1 - 3)} = 5^(-2) = ¹/_5²

Final result :

  289           
  ——— = 1.44500 
  200