Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

Step  2  :

Raising to a Power :

 2.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Equation at the end of step  2  :

Step  3  :

 3.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  3  :

Step  4  :

Multiplying exponents :

 4.1    5¹  multiplied by  5⁹   = 5^{(1 + 9)} = 5¹⁰

Equation at the end of step  4  :

Step  5  :

            (510•29)
 Simplify   ————————
            (24•53) 

Dividing exponents :

 5.1    5¹⁰   divided by   5³   = 5^{(10 - 3)} = 5⁷

Dividing exponents :

 5.2    2⁹   divided by   2⁴   = 2^{(9 - 4)} = 2⁵

Final result :

  (57•25)