Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-10" was replaced by "^(-10)".

(2): "1.504" was replaced by "(1504/1000)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  1504
  ———— • ((2)(-10)•(5)(-10))
  1000

Step  2  :

            188
 Simplify   ———
            125

Equation at the end of step  2  :

  188
  ——— • ((2)(-10)•(5)(-10))
  125

Step  3  :

Multiplying exponents :

 3.1    5³  multiplied by  5¹⁰   = 5^{(3 + 10)} = 5¹³

Dividing exponents :

 3.2    2²   divided by   2¹⁰   = 2^{(2 - 10)} = 2^(-8) = ¹/_2⁸

Final result :

     47                                      
  ———————— = 1.50400 • 10-10 
  (513•28)