Question

calculați:

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Answer 1

Răspuns:

$( \sqrt{5} )^{70 - 70} = ( \sqrt{5} )^{0} = 1$

$( \sqrt{3} )^{48 - 44} = ( \sqrt{3})^{4} = 9$

$( - \sqrt{2} )^{61} \div ( \sqrt{2})^{60} = - \sqrt{2}$

$( \sqrt{3} )^{ - 40} \times (3 \sqrt{3} )^{14} = 3^{14} \times ( \sqrt{3} )^{ - 40 + 14} = {3}^{14} \times ( \sqrt{3} )^{ - 26} = \frac{ {3}^{14} }{( \sqrt{3})^{26} } = (\frac{3}{ \sqrt{3} } )^{14} \times \frac{1}{( \sqrt{3})^{12} } = {( \sqrt{3} )}^{14} \times ( \sqrt{3} )^{ - 12} = ( \sqrt{3)}^{2} = 3$