Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.5" was replaced by "(85/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)¹⁷ = (2•5)¹⁷ = 2¹⁷ • 5¹⁷

Equation at the end of step  1  :

   272       85
  (———•(108))——•(217•517))
   100(      10

Step  2  :

            17
 Simplify   ——
            2 

Equation at the end of step  2  :

   272             17
  (——— • (108)) ÷ (—— • (217•517))
   100             2 

Step  3  :

Raising to a Power :

 3.1    2¹⁷   divided by   2¹   = 2^{(17 - 1)} = 2¹⁶

Equation at the end of step  3  :

   272
  (——— • (108)) ÷ (17•216•517)
   100

Step  4  :

 4.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  4  :

   272
  (——— • (28•58)) ÷ (17•216•517)
   100

Step  5  :

            68
 Simplify   ——
            25

Equation at the end of step  5  :

  68
  —— • (28•58)) ÷ (17•216•517)
  25

Step  6  :

Multiplying exponents :

 6.1    2²  multiplied by  2⁸   = 2^{(2 + 8)} = 2¹⁰

Dividing exponents :

 6.2    5⁸   divided by   5²   = 5^{(8 - 2)} = 5⁶

Equation at the end of step  6  :

Step  7  :

             (210•17•56)
 Simplify   ————————————
            (17•216•517)

Dividing exponents :

 7.1    2¹⁰   divided by   2¹⁶   = 2^{(10 - 16)} = 2^(-6) = ¹/_2⁶

Canceling Out :

 7.2      Canceling out  17  as it appears on both sides of the fraction line

Dividing exponents :

 7.3    5⁶   divided by   5¹⁷   = 5^{(6 - 17)} = 5^(-11) = ¹/_5¹¹

Final result :

      1                                      
  ———————— = 3.20000 • 10-10 
  (26•511)