Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-9" was replaced by "^(-9)".

(2): "4.8" was replaced by "(48/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

   48
  (—— • (10-9)) ÷ (8 • (25•55))
   10

Step  2  :

Raising to a Power :

 2.1    2³  multiplied by  2⁵   = 2^{(3 + 5)} = 2⁸

Equation at the end of step  2  :

   48
  (—— • (10-9)) ÷ (28•55)
   10

Step  3  :

 3.1     10 = 2•5

(10)^-9 = (2•5)^(-9) = (2)^(-9) • (5)^(-9)

Equation at the end of step  3  :

   48
  (—— • ((2)(-9)•(5)(-9))) ÷ (28•55)
   10

Step  4  :

            24
 Simplify   ——
            5 

Equation at the end of step  4  :

  24
  —— • ((2)(-9)•(5)(-9))) ÷ (28•55)
  5 

Step  5  :

Multiplying exponents :

 5.1    5¹  multiplied by  5⁹   = 5^{(1 + 9)} = 5¹⁰

Dividing exponents :

 5.2    2³   divided by   2⁹   = 2^{(3 - 9)} = 2^(-6) = ¹/_2⁶

Equation at the end of step  5  :

      3   
  ———————— ÷ (28•55)
  (510•26) 

Step  6  :

             3         
 Divide  ————————  by  (28•55)
         (510•26)       

Multiplying exponents :

 6.1    5¹⁰  multiplied by  5⁵   = 5^{(10 + 5)} = 5¹⁵

Multiplying exponents :

 6.2    2⁶  multiplied by  2⁸   = 2^{(6 + 8)} = 2¹⁴

Final result :

      3                                       
  ————————— = 6.00000 • 10-15 
  (515•214)