Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2³   = 2^{(2 + 3)} = 2⁵

Equation at the end of step  2  :

Step  3  :

 3.1     10 = 2•5

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

Equation at the end of step  3  :

Step  4  :

Dividing exponents :

 4.1    5¹   divided by   5⁶   = 5^{(1 - 6)} = 5^(-5) = ¹/_5⁵

Equation at the end of step  4  :

     1   
  ——————— ÷ (25•53)
  (26•55)

Step  5  :

            1         
 Divide  ———————  by  (25•53)
         (26•55)      

Multiplying exponents :

 5.1    2⁶  multiplied by  2⁵   = 2^{(6 + 5)} = 2¹¹

Multiplying exponents :

 5.2    5⁵  multiplied by  5³   = 5^{(5 + 3)} = 5⁸

Final result :

      1                                     
  ———————— = 1.25000 • 10-9 
  (211•58)