Question

EX.16.
DAU COROANA!!!!!!!!​

Answer 1

16

a) adevărat

$( \frac{3}{4} ) ^{6} \div ( \frac{3}{4} ) ^{4} = \frac{ {3}^{6} }{ {4}^{6} } \times \frac{ {4}^{4} }{ {3}^{4} } = \frac{ {3}^{2} }{ {4}^{2} } = \frac{9}{16}$

b) fals

$( \frac{1}{2} ) ^{8} \div ( \frac{1}{2} )^{4} = \frac{ {1}^{8} }{ {2}^{8} } \times \frac{ {2}^{4} }{ {1}^{4} } = \frac{1}{ {2}^{4} } = \frac{1}{16}$

c) fals

$( \frac{2}{5} ) ^{10} \div ( \frac{2}{5} ) ^{10} = \frac{ {2}^{10} }{ {5}^{10} } \times \frac{ {5}^{10} }{ {2}^{10} } = 1$

d) fals

$( \frac{1}{3} ) ^{6} \div (\frac{1}{3} )^{1} = \frac{ {1}^{6} }{ {3}^{6} } \div \frac{ {3}^{1} }{ {1}^{1} } = \frac{1}{ {3}^{5} } = \frac{1}{243}$

e) adevărat

$( \frac{3}{2} ) ^{6} \div ( \frac{3}{2} ) ^{6} = \frac{ {3}^{6} }{ {2}^{6} } \times \frac{ {2}^{6} }{ {3}^{6} } = 1$

f) adevărat

$( \frac{5}{6} ) ^{20} \div ( \frac{5}{6} ) ^{18} = \frac{ {5}^{20} }{ {6}^{20} } \times \frac{ {6}^{18} }{ {5}^{18} } = \frac{ {5}^{2} }{ {6}^{2} } = \frac{25}{36}$

g) fals

$( \frac{10}{3} ) ^{30} \div ( \frac{10}{3} ) ^{27} = \frac{ {10}^{30} }{ {3}^{30} } \times \frac{ {3}^{27} }{ {10}^{27} } = \frac{ {10}^{3} }{ {3}^{3} } = \frac{1000}{27}$

h) fals

$( \frac{1}{20} ) ^{6} \div ( \frac{1}{20} ) ^{3} = \frac{1}{ {20}^{6} } \times \frac{ {20}^{3} }{1} = \frac{1}{ {20}^{3} } = \frac{1}{8000}$