Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

Step  2  :

Raising to a Power :

 2.1    2¹  multiplied by  2²   = 2^{(1 + 2)} = 2³

Equation at the end of step  2  :

Step  3  :

 3.1     10 = 2•5

(10)¹⁰ = (2•5)¹⁰ = 2¹⁰ • 5¹⁰

Equation at the end of step  3  :

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2¹⁰   = 2^{(1 + 10)} = 2¹¹

Equation at the end of step  4  :

Step  5  :

            (211•3•510)
 Simplify   ———————————
              (23•52)  

Dividing exponents :

 5.1    2¹¹   divided by   2³   = 2^{(11 - 3)} = 2⁸

Dividing exponents :

 5.2    5¹⁰   divided by   5²   = 5^{(10 - 2)} = 5⁸

Final result :

  (28•3•58)