Question

Мне очень нужна помощь.

Answer 1

$\displaystyle\tt 3. \ \ \frac{\sqrt[7]{\tt x^{20}}}{\sqrt[7]{\tt x^6}} =\sqrt[7]{\tt x^{20-6}} =\sqrt[7]{\tt x^{14}} =x^{\frac{14}{7} }=x^2\\\\\\\\4. \ \ 5^{3-\sqrt{8}}\cdot 5^{3+\sqrt{8}}=5^{3-\sqrt{8}+3+\sqrt{8}}=5^6=15625\\\\{} \ \ \ \ \left(6^{\sqrt{2}}\right)^{\sqrt{8}}=6^{\sqrt{2}\cdot\sqrt{8}}=6^{\sqrt{16}}=6^{4}=1296$

$\displaystyle\tt 5. \ \ \ 16^{-\frac{3}{4}}-(0.01)^{-\frac{1}{2}}+12\cdot(7^0)^{3}-16\cdot2^{-3}\cdot64^{-\frac{2}{3}}=\\\\{} \ \ \ =(2^4)^{-\frac{3}{4}}-100^{\frac{1}{2}}+12\cdot1^{3}-2^4\cdot2^{-3}\cdot(2^6)^{-\frac{2}{3}}=\\\\{} \ \ \ =2^{-3}-(10^2)^{\frac{1}{2}}+12\cdot1-2^4\cdot2^{-3}\cdot2^{-4}=\\\\{} \ \ \ =2^{-3}-10+12-2^{4-3-4}=2^{-3}+2-2^{-3}=2$