Question

Найдите значение степени 1)(1/3) в 5степени 2)(3/7)³. 3)(1 2/5)². 4)(3 1/4)² 30

Answer 1

$\displaystyle 1)..( \frac{1}{3})^{5}= \frac{1}{3^{5}}= \frac{1}{243}; \\ \\ 2)..( \frac{3}{7})^{3}= \frac{3^{3}}{7^{3}}= \frac{27}{343}; \\ \\ 3)..(1 \frac{2}{5})^{2}=( \frac{7}{5})^{2}= \frac{7^{2}}{5^{2}}= \frac{49}{25}=1,96 \\ \\ 4)..(3 \frac{1}{4})^{2}= (\frac{13}{4})^{2}= \frac{13^{2}}{4^{2}}= \frac{169}{16}=10 \frac{9}{16}=10,5625$

Answer 2

1)(1/3)^5=(1^5)/(3^5)=1/243
2)(3/7)^3=(3^3)/(7^3)=27/343
3)(1 2/5)^2=(7/5)^2=(7^2)/(5^2)=49/25= 1 24/25= 1,96
4)(3 1/4)^2=(13/4)^2= (13^2)/(4^2)= 169/16= 10 9/16