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

(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