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In a perfect SQUARE, all of the exponents are divisible by 2 (i.e., they are even). For example, x²y�z� is a perfect square.
In a perfect CUBE, all of the exponents are divisible by 3. For example, x³y³z� is a perfect cube.
In a perfect 5th POWER, all of the exponents are divisible by 5. For example, x�y�z�� is a perfect cube.
So, to meet ALL 3 conditions, all of the exponents MUST BE divisible by 2, 3 AND 5.
If we take (a^3)(b^4)(c^5) and multiply it by answer choice E, we get the product (a^30)(b^30)(c^30), where all of the exponents are divisible by 2, 3 AND 5.
Cheers,
Brent
