Question

If 4^3a/8^b=1, what is a/b?

A. 1/3
B. 1/2
C. 3/4
D. 4/3

Answer 1

B. 1/2

Step-by-step explanation:

Here, 4^3a/8^b=1

or, 4^3a=8^b

or, (2²)^3a=(2³)^b

Equating powers of like bases,

6a/3b=1

or, a/b=3/6=1/2.