Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "7.5" was replaced by "(75/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  75
  —— • ((2)(-10)•(5)(-10))
  10

Step  2  :

            15
 Simplify   ——
            2 

Equation at the end of step  2  :

  15
  —— • ((2)(-10)•(5)(-10))
  2 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2¹⁰   = 2^{(1 + 10)} = 2¹¹

Dividing exponents :

 3.2    5¹   divided by   5¹⁰   = 5^{(1 - 10)} = 5^(-9) = ¹/_5⁹

Final result :

      3                                      
  ———————— = 7.50000 • 10-10 
  (211•59)