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  4. The value of (1002-2100)(993-299)(982-298)(973-. 297 ) ... is

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Q. The value of $\left(100^2-2^{100}\right)\left(99^3-2^{99}\right)\left(98^2-2^{98}\right)\left(97^3-\right.$ $2^{97}$ ) ... is

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Solution:

$(100^2-2^{100})(99^3-2^{99}) \ldots(2^2-2^2) \ldots=0$