Question

If
x
−
2
y
=
9
, what is the value of
2
x
4
y
?
Select one answer
A
2
9

B
1
2

C
4
2

D
The value cannot be determined from the information given.

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Answer 1

4^y = (2^2)^y = 2^(2y), so
2^x / 4^y = 2^x / 2^(2y) = 2^(x − 2y) = 2^9 = 512.

Answer: A (2^9 = 512).