Question

Сравните значения числовых выражений:
50^4 и 2^4:5^-6

Answer 1

Ответ:

$\frac{2^{4} }{5 ^{ - 6} } = 2^{4} \times 5^{6} = 250000 \\ 50^{4} = 6.25 \times 10^{6} \\ 50^{4} > 250000$

Answer 2

${50}^{4} \: * \: {2}^{4} \div {5}^{ - 6}$

${50}^{4} = {25}^{4} \times {2}^{4} = { ({5}^{2}) }^{4} \times {2}^{4} = {5}^{8} \times {2}^{4}$

${2}^{4} \div {5}^{ - 6} = {2}^{4} \times \frac{1}{ {5}^{6} } = \frac{ {2}^{4} }{ {5}^{6} }$

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${50}^{4} > {2}^{4} \div {5}^{ - 6}$