Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.673" was replaced by "(1673/1000)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   893         1673
  (———•(102))-(————•(22•52))
   100         1000

Step  2  :

            1673
 Simplify   ————
            1000

Equation at the end of step  2  :

   893              1673
  (——— • (102)) -  (———— • (22•52))
   100              1000

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2³   = 2^{(2 - 3)} = 2^(-1) = ¹/_2¹ = ¹/₂

Raising to a Power :

 3.2    5²   divided by   5³   = 5^{(2 - 3)} = 5^(-1) = ¹/_5¹ = ¹/₅

Equation at the end of step  3  :

   893             1673
  (——— • (102)) -  ————
   100              10 

Step  4  :

 4.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  4  :

   893               1673
  (——— • (22•52)) -  ————
   100                10 

Step  5  :

            893
 Simplify   ———
            100

Equation at the end of step  5  :

   893               1673
  (——— • (22•52)) -  ————
   100                10 

Step  6  :

Canceling Out :

 6.1      Canceling out  2² as it appears on both sides of the fraction line

Canceling Out :

 6.2      Canceling out  5² as it appears on both sides of the fraction line

Equation at the end of step  6  :

         1673
  893 -  ————
          10 

Step  7  :

Rewriting the whole as an Equivalent Fraction :

 7.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

            893     893 • 10
     893 =  ———  =  ————————
             1         10   

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 7.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 893 • 10 - (1673)     7257
 —————————————————  =  ————
        10              10 

Final result :

  7257             
  ———— = 725.70000 
   10