SAT Math problem

Test Preparation SAT Preparation
1

<p>Can someone solve this problem for me:</p>

<li>If a and b are positive integers and (a^1/2 times b^1/3)^6 = 432, what is the value of ab?</li>
</ol>

<p>A 6
B 12
C 18
D 24
E 36</p>

<p>I know the answer is A but I want to know how to derive the answer.</p>

2

<p>The answer isn't A; it's B.</p>

<p>(a^.5xb^.333)^6=432
(a^3)x(b^2)=432</p>

<p>432=6^3x2
432=(3^3)x(2^4)
432=(3^3)x(4^2)</p>

<p>4x3=12</p>