Solution - Power equations

Step  1  :

            b8
 Simplify   ——
            24

Equation at the end of step  1  :

                  b8
  (((12 • (a2)) • ——) • a4) • b2
                  24
 Step  2  :

Equation at the end of step  2  :

               b8
  (((22•3a2) • ——) • a4) • b2
               24

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2³   = 2^{(2 - 3)} = 2^(-1) = ¹/_2¹ = ¹/₂

Canceling Out :

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

Equation at the end of step  3  :

   a2b8
  (———— • a4) • b2
    2  

Step  4  :

Multiplying exponential expressions :

 4.1    a² multiplied by a⁴ = a^{(2 + 4)} = a⁶

Equation at the end of step  4  :

  a6b8
  ———— • b2
   2  

Step  5  :

Multiplying exponential expressions :

 5.1    b⁸ multiplied by b² = b^{(8 + 2)} = b¹⁰

Final result :

  a6b10 
  —————
    2