Question

find the value of a when 16 to the power 4 = 2to the power 4 x a to the power 4

Answer 1

Answer:

16^4 = 2^4 × a^4

(2^4)^4 = 2^4 × a^4

here, the power is same for all so power will be cancelled

Now,

2^4 = 2×a

16 = 2×a

a = 8.