Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.84" was replaced by "(284/100)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  1  :

   26         284
  (——•(106))•(———•(26•56))
   10         100

Step  2  :

            71
 Simplify   ——
            25

Equation at the end of step  2  :

   26             71
  (—— • (106)) • (—— • (26•56))
   10             25

Step  3  :

Raising to a Power :

 3.1    5⁶   divided by   5²   = 5^{(6 - 2)} = 5⁴

Equation at the end of step  3  :

   26
  (—— • (106)) • (71•26•54)
   10

Step  4  :

 4.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  4  :

   26
  (—— • (26•56)) • (71•26•54)
   10

Step  5  :

            13
 Simplify   ——
            5 

Equation at the end of step  5  :

   13
  (—— • (26•56)) • (71•26•54)
   5 

Step  6  :

Dividing exponents :

 6.1    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Equation at the end of step  6  :

  (13•26•55) • (71•26•54)

Step  7  :

Multiplying exponents :

 7.1    2⁶  multiplied by  2⁶   = 2^{(6 + 6)} = 2¹²

Multiplying exponents :

 7.2    5⁵  multiplied by  5⁴   = 5^{(5 + 4)} = 5⁹

Final result :

  (13•212•59•71)