Question

calculati
a)0$(\frac{1}{3} ) ^{-4} * (\frac{1}{3} ) ^{3}$
B)$( \frac2{5}{} ) ^{-6} *(- \frac{2}{5} ) ^{3}$
C)$( \frac{1}{5} ) :^{-2} ( \frac{1}{5} ) ^{-4}$
D)$( \frac{2}{3} ) ^{-5} :( \frac{2}{3} ) ^{-4}$

Answer 1

    
$a)\,\,(\frac{1}{3} ) ^{-4} * (\frac{1}{3} ) ^{3}=(\frac{1}{3} ) ^{-4+3}=(\frac{1}{3} ) ^{-1}=3 \\ \\ b)\,\, (\frac{2}{5}) ^{-6} *(- \frac{2}{5} ) ^{3}=-(\frac{2}{5}) ^{(-6+3)}=-(\frac{2}{5}) ^{(-3)}=-(\frac{5}{2}) ^{3}= \frac{125}{8} \\ \\ c)\,\, (\frac{1}{5} ) ^{-2} : ( \frac{1}{5} ) ^{-4}= 5^{2}: 5^{4}=5^{(2-4)}= 5^{(-2)}= \frac{1}{5^{2}} = \frac{1}{25} \\ \\ d)\,\,( \frac{2}{3} ) ^{-5} :( \frac{2}{3} ) ^{-4}=( \frac{2}{3} ) ^{(-5)-(-4)}=( \frac{2}{3} ) ^{(-5+4)}=(\frac{2}{3} ) ^{(-1)}=\frac{3}{2}$