Question

Ma puteti ajuta,am nevoie urgent ,ofer coroana pentru cel mai bun răspuns

Answer 1

$a) \: \sqrt{7} ^{ - 2} = (\frac{1}{ \sqrt{7} } ) ^{2} = (\frac{ \sqrt{7} }{7}) ^{2} = \frac{7}{49} = \frac{1}{7}$

$b) \: ( - \sqrt{5} ) ^{ - 3} = ( - \frac{1}{ \sqrt{5} }) ^{3} = ( - \frac{ \sqrt{5} }{5} ) ^{3} = - \frac{ \sqrt{125} }{125} = - \frac{5 \sqrt{5} }{125} = - \frac{ \sqrt{5} }{25}$

$c) \: ( - \sqrt{3} ) ^{ - 4} = ( - \frac{1}{ \sqrt{3} } ) ^{4} = ( - \frac{ \sqrt{3} }{3} ) ^{4} = \frac{9}{81} = \frac{1}{9}$

$d) \: ( \sqrt{2} )^{ - 5} = ( \frac{1}{ \sqrt{2} } ) ^{5} = ( \frac{ \sqrt{2} }{2} ) ^{5} = \frac{4 \sqrt{2} }{32} = \frac{ \sqrt{2} }{8}$

$e)(5 \sqrt{6}) ^{ - 2} = ( \frac{1}{5 \sqrt{6} } ) ^{2} = (\frac{ \sqrt{6} }{30} ) ^{2} = \frac{6}{900} = \frac{2}{300} = \frac{1}{150}$

$f)( - 3 \sqrt{5} ) ^{ - 3} = ( - \frac{1}{3 \sqrt{5} } ) ^{3} = ( - \frac{ \sqrt{5} }{15} ) ^{3} = - \frac{5 \sqrt{5} }{3375} = - \frac{ \sqrt{5} }{675}$

Answer 2

Răspuns:

Explicație pas cu pas:

a)√1/7²=1/7

b)(-1/√5³)=-√5/5²=-√5/25

c)(-1/√3)^4=1/3²=1/9

d)1/(√2)^5=1/4√2=√2/8

e)1/(5√6)²=1/25·6=1/150

f)-1/(3√5)³=-1/27·5√5=-√5/25·27=-√5/675

g)1/(2√3)^4=1/16·9=1/144

h)1/(2√2)^5=1/2^5·2²·√2=√2/2^8=√2/256