Aspire Faculty ID #13961 · Topic: JAMIA MILLIA ISLAMIA MCA 2020 · Just now
JAMIA MILLIA ISLAMIA MCA 2020

What will be the value of $(102)^5$?

Solution

Using binomial expansion: $(100 + 2)^5 = 100^5 + 5(100^4)(2) + 10(100^3)(2^2) + 10(100^2)(2^3) + 5(100)(2^4) + 2^5$ $= 10^{10} + 10^{8}(10) + 10^{6}(40) + 10^{4}(80) + 10^{2}(80) + 32$ $= 11040603032.$
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