Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.1" was replaced by "(11/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   11
  (—— • (100)) ÷ (7 • ((2)(-4)•(5)(-4)))
   10

Step  2  :

Equation at the end of step  2  :

   11               7   
  (—— • (100)) ÷ ———————
   10            (24•54)
 Step  3  :
            11
 Simplify   ——
            10

Equation at the end of step  3  :

  11           7   
  —— • 1) ÷ ———————
  10        (24•54)

Step  4  :

         11         7   
 Divide  ——  by  ———————
         10      (24•54)

 4.1    Dividing fractions

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

11        7          11     (24•54)
——  ÷  ———————   =   ——  •  ———————
10     (24•54)       10        7   

Dividing exponents :

 4.2    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Dividing exponents :

 4.3    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Final result :

  (11•23•53)              
  —————————— = 1571.42857 
      7