Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-11" was replaced by "^(-11)".

(2): "4.8" was replaced by "(48/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-11 = (2•5)^(-11) = (2)^(-11) • (5)^(-11)

Equation at the end of step  1  :

  48
  —— • ((2)(-11)•(5)(-11))
  10

Step  2  :

            24
 Simplify   ——
            5 

Equation at the end of step  2  :

  24
  —— • ((2)(-11)•(5)(-11))
  5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5¹¹   = 5^{(1 + 11)} = 5¹²

Dividing exponents :

 3.2    2³   divided by   2¹¹   = 2^{(3 - 11)} = 2^(-8) = ¹/_2⁸

Final result :

      3                                      
  ———————— = 4.80000 • 10-11 
  (512•28)