Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3." was replaced by "(3/1)". 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  :

   48       3
  (——•(106))—•(22•52))
   10(      1

Step  2  :

            3
 Simplify   —
            1

Equation at the end of step  2  :

   48
  (—— • (106)) ÷ (3 • (22•52))
   10

Step  3  :

Equation at the end of step  3  :

   48
  (—— • (106)) ÷ (3•22•52)
   10

Step  4  :

 4.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  4  :

   48
  (—— • (26•56)) ÷ (3•22•52)
   10

Step  5  :

            24
 Simplify   ——
            5 

Equation at the end of step  5  :

  24
  —— • (26•56)) ÷ (3•22•52)
  5 

Step  6  :

Multiplying exponents :

 6.1    2³  multiplied by  2⁶   = 2^{(3 + 6)} = 2⁹

Dividing exponents :

 6.2    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Equation at the end of step  6  :

Step  7  :

            (29•3•55)
 Simplify   —————————
            (3•22•52)

Dividing exponents :

 7.1    2⁹   divided by   2²   = 2^{(9 - 2)} = 2⁷

Canceling Out :

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

Dividing exponents :

 7.3    5⁵   divided by   5²   = 5^{(5 - 2)} = 5³

Final result :

  (27•53)