Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.2" was replaced by "(82/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  1  :

   71       82
  (——•(106))——•(2•5))
   10(      10

Step  2  :

            41
 Simplify   ——
            5 

Equation at the end of step  2  :

   71             41
  (—— • (106)) ÷ (—— • (2•5))
   10             5 

Step  3  :

Raising to a Power :

 3.1      Canceling out  5  as it appears on both sides of the fraction line

Equation at the end of step  3  :

   71
  (—— • (106)) ÷ 82
   10

Step  4  :

 4.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  4  :

   71
  (—— • (26•56)) ÷ 82
   10

Step  5  :

            71
 Simplify   ——
            10

Equation at the end of step  5  :

  71
  —— • (26•56)) ÷ 82
  10

Step  6  :

Dividing exponents :

 6.1    2⁶   divided by   2¹   = 2^{(6 - 1)} = 2⁵

Dividing exponents :

 6.2    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Equation at the end of step  6  :

Step  7  :

            (71•25•55)
 Simplify   ——————————
                82    

Dividing exponents :

 7.1    2⁵   divided by   2¹   = 2^{(5 - 1)} = 2⁴

Final result :

  (71•24•55)               
  —————————— = 86585.36585 
      41