(12)3=(2)y

Rewrite the equation as (2)y=(12)3.

(2)y=(12)3

Apply the product rule to 12.

(2)y=1323

One to any power is one.

(2)y=123

Move 23 to the numerator using the negative exponent rule 1bn=b-n.

(2)y=2-3

Create equivalent expressions in the equation that all have equal bases.

2y=2-3

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

y=-3

Solve using the Square Root Property (1/2)^3=(2)^y