Nadia222 wrote:Can someone please explain the answer to this question step by step.
(8^a)(1/4)^b = ?
1. B=1.5a
2. A=2
An alternate approach is to test cases.
Statement 1: b = 1.5a
Case 1: a=2, b=3.
In this case, (8^a)(1/4)^b = (8²)(1/4)³ = (64)(1/64) = 1.
Case 2: a=4, b=6
In this case, (8^a)(1/4)^b = (8�)(1/4)� = (8²)(8²)(1/4)³(1/4)³ = (64)(64)(1/64)(1/64) = 1.
The cases above illustrate that, if b=1.5a, then (8^a)(1/4)^b = 1.
SUFFICIENT.
Statement 2: a=2
Case 1 also satisfies statement 2.
In Case 1, (8^a)(1/4)^b = 1.
Case 3: a=2, b=0
In this case, (8²)(1/4)� = (64)(1) = 64.
Since (8^a)(1/4)^b can be different values, INSUFFICIENT.
The correct answer is
A.
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