Упр.28 ГДЗ Колягин Ткачёва 9 класс (Алгебра)

1) (36^3)^(1/6); 2) (64^2)^(1/12); 3) ((1/25)^2)^(1/4); 4) (225^4)^(1/8).

1. $$\left(36^3\right)^{\frac16}=36^{\frac36}=36^{\frac12}=\sqrt{36}=6.$$
2. $$\left(64^2\right)^{\frac1{12}}=64^{\frac2{12}}=64^{\frac16}=\sqrt[6]{64}=\sqrt[6]{2^6}=2.$$
3. $$\left(\left(\frac1{25}\right)^2\right)^{\frac14}=\left(\frac1{25}\right)^{\frac24}=\left(\frac1{25}\right)^{\frac12}=\sqrt{\frac1{25}}=\frac15.$$
4. $$\left(225^4\right)^{\frac18}=225^{\frac48}=225^{\frac12}=\sqrt{225}=15.$$

Ответ

$$1)\ 6;\quad 2)\ 2;\quad 3)\ \frac15;\quad 4)\ 15.$$