Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.5" was replaced by "(35/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

   35
  (—— • (105)) ÷ (7 • (28•58))
   10

Step  2  :

Equation at the end of step  2  :

   35
  (—— • (105)) ÷ (7•28•58)
   10

Step  3  :

 3.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  3  :

   35
  (—— • (25•55)) ÷ (7•28•58)
   10

Step  4  :

            7
 Simplify   —
            2

Equation at the end of step  4  :

  7
  — • (25•55)) ÷ (7•28•58)
  2

Step  5  :

Dividing exponents :

 5.1    2⁵   divided by   2¹   = 2^{(5 - 1)} = 2⁴

Equation at the end of step  5  :

Step  6  :

            (7•24•55)
 Simplify   —————————
            (7•28•58)

Canceling Out :

 6.1      Canceling out  7  as it appears on both sides of the fraction line

Dividing exponents :

 6.2    2⁴   divided by   2⁸   = 2^{(4 - 8)} = 2^(-4) = ¹/_2⁴

Dividing exponents :

 6.3    5⁵   divided by   5⁸   = 5^{(5 - 8)} = 5^(-3) = ¹/_5³

Final result :

    1            
  ———— = 0.00050 
  2000