Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.2" was replaced by "(12/10)". 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  :

   3       12
  (—•(108))——•(29•59))
   1(      10

Step  2  :

            6
 Simplify   —
            5

Equation at the end of step  2  :

   3             6
  (— • (108)) ÷ (— • (29•59))
   1             5

Step  3  :

Multiplying exponents :

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

Raising to a Power :

 3.2    5⁹   divided by   5¹   = 5^{(9 - 1)} = 5⁸

Equation at the end of step  3  :

   3
  (— • (108)) ÷ (210•3•58)
   1

Step  4  :

 4.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  4  :

   3
  (— • (28•58)) ÷ (210•3•58)
   1

Step  5  :

            3
 Simplify   —
            1

Equation at the end of step  5  :

  (3 • (28•58))
  —————————————
   (210•3•58)  

Step  6  :

Equation at the end of step  6  :

Step  7  :

             (3•28•58)
 Simplify   ——————————
            (210•3•58)

Canceling Out :

 7.1      Canceling out  3  as it appears on both sides of the fraction line

Dividing exponents :

 7.2    2⁸   divided by   2¹⁰   = 2^{(8 - 10)} = 2^(-2) = ¹/_2²

Canceling Out :

 7.3      Canceling out  5⁸ as it appears on both sides of the fraction line

Final result :

  1           
  — = 0.25000 
  4