f) Find the smallest number by which 375 must be multiplied to make it a perfect cube. g) Find the smallest number by which 2560 must be divided to make it a perfect cube. h) Find the smallest number by which 576 must be divided to make it a perfect cube.
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The prime factorization of 375 is 3^1 * 5^3. To make it a perfect cube, we need to have each prime factor raised to a power that is a multiple of 3. For 3, we need to raise it to a power of 2 to make it a multiple of 3 (3^2 = 9). For 5, we need to raise it to a Show more…
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