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    2²  multiplied by  2³   = 2^{(2 + 3)} = 2⁵

Equation at the end of step  2  :

Step  3  :

 3.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  3  :

Step  4  :

Equation at the end of step  4  :

Step  5  :

            (3•25•55)
 Simplify   —————————
             (25•53) 

Canceling Out :

 5.1      Canceling out  2⁵ as it appears on both sides of the fraction line

Dividing exponents :

 5.2    5⁵   divided by   5³   = 5^{(5 - 3)} = 5²

Final result :

  75