Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.8" was replaced by "(48/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)¹⁰ = (2•5)¹⁰ = 2¹⁰ • 5¹⁰

Equation at the end of step  1  :

   12       48
  (——•(103))——•(210•510))
   10(      10

Step  2  :

            24
 Simplify   ——
            5 

Equation at the end of step  2  :

   12             24
  (—— • (103)) ÷ (—— • (210•510))
   10             5 

Step  3  :

Multiplying exponents :

 3.1    2³  multiplied by  2¹⁰   = 2^{(3 + 10)} = 2¹³

Raising to a Power :

 3.2    5¹⁰   divided by   5¹   = 5^{(10 - 1)} = 5⁹

Equation at the end of step  3  :

   12
  (—— • (103)) ÷ (213•3•59)
   10

Step  4  :

 4.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  4  :

   12
  (—— • (23•53)) ÷ (213•3•59)
   10

Step  5  :

            6
 Simplify   —
            5

Equation at the end of step  5  :

  6
  — • (23•53)) ÷ (213•3•59)
  5

Step  6  :

Multiplying exponents :

 6.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Dividing exponents :

 6.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  6  :

Step  7  :

               1200   
 Simplify   ——————————
            (213•3•59) 

Dividing exponents :

 7.1    2⁴   divided by   2¹³   = 2^{(4 - 13)} = 2^(-9) = ¹/_2⁹

Canceling Out :

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

Dividing exponents :

 7.3    5²   divided by   5⁹   = 5^{(2 - 9)} = 5^(-7) = ¹/_5⁷

Final result :

     1                                     
  ——————— = 2.50000 • 10-8 
  (29•57)