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  :

Equation at the end of step  2  :

Step  3  :

 3.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  3  :

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Equation at the end of step  4  :

Step  5  :

            (24•3•53)
 Simplify   —————————
            (3•22•52)

Dividing exponents :

 5.1    2⁴   divided by   2²   = 2^{(4 - 2)} = 2²

Canceling Out :

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

Dividing exponents :

 5.3    5³   divided by   5²   = 5^{(3 - 2)} = 5¹ = 5

Final result :

  20