Question

If 48^8 = 12^8 x 16^a then what would be the value of a?

Answer 1

12^8 ×16^a = 48^8
⇒16^a = 48^8 ÷ 12^8
⇒(4²)^a = (48÷12)^8
⇒4^2a = 4^8
⇒2a = 8    [∵ bases are same , powers are equal ]
⇒a = 8 ÷2
∴a = 4

Answer 2

48^8=12^8 x 16^a Transposing12^8 on left hand side 4^8=16^a 4^8=4^2a On comparison, 2a=8 a=4