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30 December, 18:48

Which number in the monomial 125x18y3z25 needs to be changed to make it a perfect cube?

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  1. 30 December, 21:25
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    To make the monomial 125 x^18 y^3 z^25 a perfect cube, the entire expression should be reduced to a rational number when the cube root is taken. For the constant 125, the cube root is 5, so it doesn't need to be changed. For the variables, the exponents should be divisible by 3. The exponent of z is not divisible by 3. It can be subtracted with 1 or added with 2 to make the expression a perfect cube.
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