Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-34" was replaced by "^(-34)".

(2): "6.626" was replaced by "(6626/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-34 = (2•5)^(-34) = (2)^(-34) • (5)^(-34)

Equation at the end of step  1  :

   6626
  (———— • ((2)(-34)•(5)(-34))) • 30
   1000

Step  2  :

            3313
 Simplify   ————
            500 

Equation at the end of step  2  :

   3313
  (———— • ((2)(-34)•(5)(-34))) • 30
   500 

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2³⁴   = 2^{(2 + 34)} = 2³⁶

Multiplying exponents :

 3.2    5³  multiplied by  5³⁴   = 5^{(3 + 34)} = 5³⁷

Equation at the end of step  3  :

     3313  
  ————————— • 30
  (236•537) 

Step  4  :

Dividing exponents :

 4.1    2¹   divided by   2³⁶   = 2^{(1 - 36)} = 2^(-35) = ¹/_2³⁵

Dividing exponents :

 4.2    5¹   divided by   5³⁷   = 5^{(1 - 37)} = 5^(-36) = ¹/_5³⁶

Final result :

     9939                                     
  ————————— = 1.98780 • 10-32 
  (235•536)