Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

(2): "1.52" was replaced by "(152/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-2 = (2•5)^(-2) = (2)^(-2) • (5)^(-2)

Equation at the end of step  1  :

  152
  ——— • ((2)(-2)•(5)(-2))
  100

Step  2  :

            38
 Simplify   ——
            25

Equation at the end of step  2  :

  38
  —— • ((2)(-2)•(5)(-2))
  25

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5²   = 5^{(2 + 2)} = 5⁴

Dividing exponents :

 3.2    2¹   divided by   2²   = 2^{(1 - 2)} = 2^(-1) = ¹/_2¹ = ¹/₂

Final result :

   19            
  ———— = 0.01520 
  1250