Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)". 1 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)^-6 = (2•5)^(-6) = (2)^(-6) • (5)^(-6)

Equation at the end of step  1  :

  ((3 • (10-5)) • 4) • ((2)(-6)•(5)(-6))

Step  2  :

 2.1     10 = 2•5

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

Equation at the end of step  2  :

  ((3 • ((2)(-5)•(5)(-5))) • 4) • ((2)(-6)•(5)(-6))

Step  3  :

Equation at the end of step  3  :

      3   
  (——————— • 4) • ((2)(-6)•(5)(-6))
   (25•55)

Step  4  :

Dividing exponents :

 4.1    2²   divided by   2⁵   = 2^{(2 - 5)} = 2^(-3) = ¹/_2³

Equation at the end of step  4  :

     3   
  ——————— • ((2)(-6)•(5)(-6))
  (23•55)

Step  5  :

Multiplying exponents :

 5.1    2³  multiplied by  2⁶   = 2^{(3 + 6)} = 2⁹

Multiplying exponents :

 5.2    5⁵  multiplied by  5⁶   = 5^{(5 + 6)} = 5¹¹

Final result :

      3                                      
  ———————— = 1.20000 • 10-10 
  (29•511)