Question

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Answer 1

$Given \: \: Question \: Is \: \: \\ \\ 2 {}^{2 - log_{2}(5) } \\ \\ Answer \: \: \\ \\ 2 {}^{2 - log_{2}(5) } \\ \\ 2 {}^{2} \times 2 {}^{ - log_{2}(5) } \\ \\ 2 {}^{2} \times 2 {}^{ log_{2}(5 {}^{ - 1} ) } \\ \\ 2 {}^{2} \times 5 {}^{ - 1} \\ \\ 4 \times \frac{1}{5} \\ \\ \frac{4}{5} \\ \\ Note \: \\ \\ 1) \: \: \: \: nlog(x) = log(x {}^{n} ) \\ \\ 2) \: \: log_{y}(y) = 1 \\ \\ 3) \: \: x {}^{m - n} = x {}^{m} \times x {}^{ - n}$