Question

Calcule o valor da expressão: 4^-1/2 + 2 * log2 (5)

Answer 1

${4}^{ - \frac{1}{2} \ + 2 log_{2}(5)} \\ {4 }^{ - \frac{1}{2} } \times {4}^{2 log_{2}(5)} \\ \\ \frac{1}{2} \times {( {2}^{2}) }^{2 log_{2}(5) } \\ \\ \frac{1}{2} \times {2}^{4 log_{2}(5) } \\ \\ \frac{1}{2} \times {2}^{ log_{2}( {5}^{4} ) } \\ \\ \frac{1}{2} \times {5}^{4} = \frac{ {5}^{4} }{2} = \frac{625}{2} = 312.5$