Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "30." was replaced by "(30/1)". 2 more similar replacement(s)

Step  1  :

            30
 Simplify   ——
            1 

Equation at the end of step  1  :

   285
  (——— • (106)) ÷ 30
   100

Step  2  :

 2.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  2  :

   285
  (——— • (26•56)) ÷ 30
   100

Step  3  :

            57
 Simplify   ——
            20

Equation at the end of step  3  :

  57
  —— • (26•56)) ÷ 30
  20

Step  4  :

Dividing exponents :

 4.1    2⁶   divided by   2²   = 2^{(6 - 2)} = 2⁴

Dividing exponents :

 4.2    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Equation at the end of step  4  :

Step  5  :

            (3•19•24•55)
 Simplify   ————————————
                 30     

Canceling Out :

 5.1      Canceling out  3  as it appears on both sides of the fraction line

Dividing exponents :

 5.2    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Dividing exponents :

 5.3    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Final result :

  (19•23•54)