How many factors of 2⁵ ×
3⁶ are perfect squares?
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possibilities for factors of 2^5
2⁰ 2² 2² therefore 3 possibilities (taking only ^2 for perfect squares)
possibilities for factors of 3^6
3⁰,3²,3²,3² therefore 4 possibilities
multiplying possibilities
4×3=12
therefore they have 12 perfect square factors
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