Question

1. Calculează: ( 3/4 )³ ; ( 3/4 )² ; ( 5/6 )³ ; ( 2/3 )^5 ; ( 1/2 )^6 ; ( 7/5 )⁴ ; ( 2 1/3)² ; ( 3 1/2)¹


va rog Frumos repede va dau coroana toate celea dar mă ajutați

Answer 1

$a) \\ \\ { (\frac{3}{4}) }^{3} = \frac{ {3}^{3} }{ {4}^{3} } = \frac{27}{64}$

$b) \\ \\ { (\frac{3}{4}) }^{2} = \frac{ {3}^{2} }{ {4}^{2} } = \frac{9}{16}$

$c) \\ \\ {( \frac{5}{6}) }^{3} = \frac{ {5}^{3} }{ {6}^{3} } = \frac{125}{216}$

$d) \\ \\ {( \frac{2}{3}) }^{5} = \frac{ {2}^{5} }{ {3}^{5} } = \frac{32}{243}$

$e) \\ \\ {( \frac{1}{2}) }^{6} = \frac{ {1}^{6} }{ {2}^{6} } = \frac{1}{64}$

$f) \\ \\ {( \frac{7}{5}) }^{4} = \frac{ {7}^{4} }{ {5}^{4} } = \frac{2401}{625} = 3 \frac{526}{625}$

$g) \\ \\ {(2 \frac{1}{3}) }^{2} = { \frac{7}{3} }^{2} = 2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{7}{3} = { \frac{7}{3} }^{2} = \frac{ {7}^{2} }{ {3}^{2} } = \frac{49}{9} = 5 \frac{4}{9}$

$h) \\ \\ {(3 \frac{1}{2}) }^{1} = 3 \frac{1}{2} = \frac{3 \times 2 + 1}{2} = \frac{7}{2} = { \frac{7}{2} }^{1} = \frac{ {7}^{1} }{ {2}^{1} } = \frac{7}{2} = 3 \frac{1}{2}$