Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.46" was replaced by "(146/100)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   331         146
  (———•(102))-(———•(23•53))
   100         100

Step  2  :

            73
 Simplify   ——
            50

Equation at the end of step  2  :

   331              73
  (——— • (102)) -  (—— • (23•53))
   100              50

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Raising to a Power :

 3.2    5³   divided by   5²   = 5^{(3 - 2)} = 5¹ = 5

Equation at the end of step  3  :

   331              
  (——— • (102)) -  1460
   100              

Step  4  :

 4.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  4  :

   331                 
  (——— • (22•52)) -  1460
   100                 

Step  5  :

            331
 Simplify   ———
            100

Equation at the end of step  5  :

   331                 
  (——— • (22•52)) -  1460
   100                 

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  :

  331 -  1460

Step  7  :

Final result :

  -1129