Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.6" was replaced by "(96/10)". 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  :

   8832       96
  (————•(106))——•(22•52))
   1000(      10

Step  2  :

            48
 Simplify   ——
            5 

Equation at the end of step  2  :

   8832             48
  (———— • (106)) ÷ (—— • (22•52))
   1000             5 

Step  3  :

Multiplying exponents :

 3.1    2⁴  multiplied by  2²   = 2^{(4 + 2)} = 2⁶

Raising to a Power :

 3.2    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  3  :

   8832
  (———— • (106)) ÷ 960
   1000

Step  4  :

 4.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  4  :

   8832
  (———— • (26•56)) ÷ 960
   1000

Step  5  :

            1104
 Simplify   ————
            125 

Equation at the end of step  5  :

  1104
  ———— • (26•56)) ÷ 960
  125 

Step  6  :

Multiplying exponents :

 6.1    2⁴  multiplied by  2⁶   = 2^{(4 + 6)} = 2¹⁰

Dividing exponents :

 6.2    5⁶   divided by   5³   = 5^{(6 - 3)} = 5³

Equation at the end of step  6  :

Step  7  :

            (210•3•23•53) 
 Simplify   —————————————
                 960     

Dividing exponents :

 7.1    2¹⁰   divided by   2⁶   = 2^{(10 - 6)} = 2⁴

Canceling Out :

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

Dividing exponents :

 7.3    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Final result :

  9200