Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)".

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2⁹   = 2^{(2 + 9)} = 2¹¹

Equation at the end of step  2  :

Step  3  :

 3.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  3  :

Step  4  :

Dividing exponents :

 4.1    2²   divided by   2⁴   = 2^{(2 - 4)} = 2^(-2) = ¹/_2²

Equation at the end of step  4  :

    3 
  ———— ÷ (211•59)
  2500

Step  5  :

           3       
 Divide  ————  by  (211•59)
         2500      

Multiplying exponents :

 5.1    2²  multiplied by  2¹¹   = 2^{(2 + 11)} = 2¹³

Multiplying exponents :

 5.2    5⁴  multiplied by  5⁹   = 5^{(4 + 9)} = 5¹³

Final result :

      3                                       
  ————————— = 3.00000 • 10-13 
  (213•513)