Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-9" was replaced by "^(-9)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  (3 • (10-9)) • (3 • (23•53))

Step  2  :

Equation at the end of step  2  :

  (3 • (10-9)) • (3•23•53)

Step  3  :

 3.1     10 = 2•5

(10)^-9 = (2•5)^(-9) = (2)^(-9) • (5)^(-9)

Equation at the end of step  3  :

  (3 • ((2)(-9)•(5)(-9))) • (3•23•53)

Step  4  :

Equation at the end of step  4  :

     3   
  ——————— • (3•23•53)
  (29•59)

Step  5  :

Multiplying exponents :

 5.1    3¹  multiplied by  3¹   = 3^{(1 + 1)} = 3²

Dividing exponents :

 5.2    2³   divided by   2⁹   = 2^{(3 - 9)} = 2^(-6) = ¹/_2⁶

Dividing exponents :

 5.3    5³   divided by   5⁹   = 5^{(3 - 9)} = 5^(-6) = ¹/_5⁶

Final result :

     9                                     
  ——————— = 9.00000 • 10-6 
  (26•56)