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Hey LT,
No, that solution is correct. Here's how you'd break it down:
Numerator: 2^3 * 6^2 ---> 6^2 = 3^2 * 2^2, so you have:
Numerator: 2^3 * 2^2 * 3^2 =
Numerator: 2^5 * 3^2
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Denominator: 18 * 16^(1/2) ----> 18 = 2 * 3^2 and 16^(1/2) = 4 = 2^2, so you have:
Denominator: 2 * 2^2 * 3^2 =
Denominator: 2^3 * 3^2
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Stacking numerator and denominator you have: (2^5 * 3^2) / (2^3 * 3^2)
The 3^2 terms cancel, leaving 2^5 / 2^3. That division leaves 2^2 = 4.
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