Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.5" was replaced by "(25/10)". 3 more similar replacement(s)

Step  1  :

            5
 Simplify   —
            2

Equation at the end of step  1  :

  368     115  5
  ——— ÷ ((———•(—•3))2)
  10      10   2

Step  2  :

            23
 Simplify   ——
            2 

Equation at the end of step  2  :

  368     23   15
  ——— ÷ ((—— • ——)2)
  10      2    2 

Step  3  :

 3.1     345 = 3•5•23

(345)² = (3•5•23)² = 3² • 5² • 23²  3.2     4 = 2² (4)² = (2²)² = 2⁴

Equation at the end of step  3  :

  368   (32•52•232)
  ——— ÷ ———————————
  10        24     

Step  4  :

            184
 Simplify   ———
             5 

Equation at the end of step  4  :

  184   (32•52•232)
  ——— ÷ ———————————
   5        24     

Step  5  :

         184      (32•52•232)
 Divide  ———  by  ———————————
          5           24     

 5.1    Dividing fractions

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

184     (32•52•232)       184          24    
———  ÷  ———————————   =   ———  •  ———————————
 5          24             5      (32•52•232)

Multiplying exponents :

 5.2    2³  multiplied by  2⁴   = 2^{(3 + 4)} = 2⁷

Multiplying exponents :

 5.3    5¹  multiplied by  5²   = 5^{(1 + 2)} = 5³

Dividing exponents :

 5.4    23¹   divided by   23²   = 23^{(1 - 2)} = 23^(-1) = ¹/_23¹ = ¹/₂₃

Final result :

      128              
  —————————— = 0.00495 
  (53•32•23)