Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "95.3" was replaced by "(953/10)". 2 more similar replacement(s)

Step  1  :

            953
 Simplify   ———
            10 

Equation at the end of step  1  :

   885             953
  (——— • (105)) -  ———
   100             10 

Step  2  :

 2.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  2  :

   885               953
  (——— • (25•55)) -  ———
   100               10 

Step  3  :

            177
 Simplify   ———
            20 

Equation at the end of step  3  :

   177               953
  (——— • (25•55)) -  ———
   20                10 

Step  4  :

Dividing exponents :

 4.1    2⁵   divided by   2²   = 2^{(5 - 2)} = 2³

Dividing exponents :

 4.2    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Equation at the end of step  4  :

                  953
  (3•59•23•54) -  ———
                  10 

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a fraction from a whole

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

                     (3•59•23•54)     (3•59•23•54) • 10
     (3•59•23•54) =  ————————————  =  —————————————————
                          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 :

 5.2       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:

Multiplying exponents :

 2³  multiplied by  2¹   = 2^{(3 + 1)} = 2⁴

Multiplying exponents :

 5⁴  multiplied by  5¹   = 5^{(4 + 1)} = 5⁵ (3•59•2³•5⁴) • 10 - (953) 3•59•2⁴•5⁵ - 953 ————————————————————————— = ———————————————— 10 10

Final result :

  177 - 953
  —————————
     10