Question

0.00032 в степени 0.4
вычислите

Answer 1

${(0.00032)}^{0.4} = ( frac{32}{100000} ) {}^{ frac{2}{5} } = ( frac{1}{3125} ) {}^{ frac{2}{5} } = \ = sqrt[5]{ {( frac{1}{3125}) }^{2} } = sqrt[5]{ (frac{1}{ {5}^{5} }) {}^{2} } = sqrt[5]{ {(5 {}^{ - 5} )}^{2} } = \ = sqrt[5]{ {5}^{ - 10} } = {5}^{ - 2} = frac{1}{ {5}^{2} } = frac{1}{25} = 0.04$

Answer 2

$tt 0.00032^{0.4}=bigg(cfrac{32}{10^5}bigg)^{frac{2}{5}}=bigg(cfrac{2^5}{2^5cdot5^5}bigg)^{frac{2}{5}}=bigg(cfrac{1}{5^5}bigg)^{frac{2}{5}}=cfrac{1}{5^{5cdotfrac{2}{5}}} =cfrac{1}{5^{2}} =cfrac{1}{25}=0.04$