Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)".

(2): "1.048576" was replaced by "(1048576/1000000)".

Step  1  :

 1.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  1  :

  1048576
  ——————— • ((2)(-4)•(5)(-4))
  1000000

Step  2  :

            16384
 Simplify   —————
            15625

Equation at the end of step  2  :

  16384
  ————— • ((2)(-4)•(5)(-4))
  15625

Step  3  :

Multiplying exponents :

 3.1    5⁶  multiplied by  5⁴   = 5^{(6 + 4)} = 5¹⁰

Dividing exponents :

 3.2    2¹⁴   divided by   2⁴   = 2^{(14 - 4)} = 2¹⁰

Final result :

  1024           
  ———— = 0.00010 
  510