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
  (——•(107))——•(210•510))
   10(      10

Step  2  :

            24
 Simplify   ——
            5 

Equation at the end of step  2  :

   12             24
  (—— • (107)) ÷ (—— • (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
  (—— • (107)) ÷ (213•3•59)
   10

Step  4  :

 4.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  4  :

   12
  (—— • (27•57)) ÷ (213•3•59)
   10

Step  5  :

            6
 Simplify   —
            5

Equation at the end of step  5  :

  6
  — • (27•57)) ÷ (213•3•59)
  5

Step  6  :

Multiplying exponents :

 6.1    2¹  multiplied by  2⁷   = 2^{(1 + 7)} = 2⁸

Dividing exponents :

 6.2    5⁷   divided by   5¹   = 5^{(7 - 1)} = 5⁶

Equation at the end of step  6  :

Step  7  :

             (28•3•56)
 Simplify   ——————————
            (213•3•59)

Dividing exponents :

 7.1    2⁸   divided by   2¹³   = 2^{(8 - 13)} = 2^(-5) = ¹/_2⁵

Canceling Out :

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

Dividing exponents :

 7.3    5⁶   divided by   5⁹   = 5^{(6 - 9)} = 5^(-3) = ¹/_5³

Final result :

    1            
  ———— = 0.00025 
  4000