Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.16" was replaced by "(216/100)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

   524         216
  (———•(108))•(———•(29•59))
   100         100

Step  2  :

            54
 Simplify   ——
            25

Equation at the end of step  2  :

   524             54
  (——— • (108)) • (—— • (29•59))
   100             25

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁹   = 2^{(1 + 9)} = 2¹⁰

Raising to a Power :

 3.2    5⁹   divided by   5²   = 5^{(9 - 2)} = 5⁷

Equation at the end of step  3  :

   524
  (——— • (108)) • (210•33•57)
   100

Step  4  :

 4.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  4  :

   524
  (——— • (28•58)) • (210•33•57)
   100

Step  5  :

            131
 Simplify   ———
            25 

Equation at the end of step  5  :

   131
  (——— • (28•58)) • (210•33•57)
   25 

Step  6  :

Dividing exponents :

 6.1    5⁸   divided by   5²   = 5^{(8 - 2)} = 5⁶

Equation at the end of step  6  :

  (131•28•56) • (210•33•57)

Step  7  :

Multiplying exponents :

 7.1    2⁸  multiplied by  2¹⁰   = 2^{(8 + 10)} = 2¹⁸

Multiplying exponents :

 7.2    5⁶  multiplied by  5⁷   = 5^{(6 + 7)} = 5¹³

Final result :

  (131•218•513•33)