Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "4." was replaced by "(4/1)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  1035    4
  ———— ÷ (— • ((2)(-4)•(5)(-4)))
  1000    1

Step  2  :

            4
 Simplify   —
            1

Equation at the end of step  2  :

  1035
  ———— ÷ (4 • ((2)(-4)•(5)(-4)))
  1000

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2⁴   = 2^{(2 - 4)} = 2^(-2) = ¹/_2²

Equation at the end of step  3  :

  1035     1 
  ———— ÷ ————
  1000   2500

Step  4  :

            207
 Simplify   ———
            200

Equation at the end of step  4  :

  207     1 
  ——— ÷ ————
  200   2500

Step  5  :

         207        1 
 Divide  ———  by  ————
         200      2500

 5.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

207       1        207     2500
———  ÷  ————   =   ———  •  ————
200     2500       200      1  

Final result :

  5175              
  ———— = 2587.50000 
   2