Основанонаупр.3стр.15.

Выполнизадание

Заполнипропуски, используяравенство \(x^{\frac{m}{n}}=\sqrt[n]{x^m}\) , где \(x\gt0\) :

\(\lt vim-word local-id="50001" meaning-id="0" pos-tag="r" sentence-id="5"\gt x^\lt /vim-word\gt \lt vim-word local-id="50002" meaning-id="0" pos-tag="x" sentence-id="5"\gt {\lt /vim-word\gt \lt vim-word local-id="50003" meaning-id="0" pos-tag="v" sentence-id="5"\gt \frac\lt /vim-word\gt \lt vim-word local-id="50004" meaning-id="0" pos-tag="x" sentence-id="5"\gt {\lt /vim-word\gt \lt vim-word local-id="50005" meaning-id="185521" pos-tag="n" sentence-id="5"\gt m\lt /vim-word\gt \lt vim-word local-id="50006" meaning-id="0" pos-tag="x" sentence-id="5"\gt }\lt /vim-word\gt \lt vim-word local-id="50007" meaning-id="0" pos-tag="x" sentence-id="5"\gt {\lt /vim-word\gt \lt vim-word local-id="50008" meaning-id="22576" pos-tag="j" sentence-id="5"\gt n\lt /vim-word\gt \lt vim-word local-id="50009" meaning-id="0" pos-tag="x" sentence-id="5"\gt }\lt /vim-word\gt \lt vim-word local-id="50010" meaning-id="0" pos-tag="x" sentence-id="5"\gt }\lt /vim-word\gt \)	\(\lt vim-word local-id="50011" meaning-id="0" pos-tag="n" sentence-id="5"\gt x^\lt /vim-word\gt \lt vim-word local-id="50012" meaning-id="0" pos-tag="x" sentence-id="5"\gt {\lt /vim-word\gt \lt vim-word local-id="50013" meaning-id="0" pos-tag="n" sentence-id="5"\gt \frac\lt /vim-word\gt \lt vim-word local-id="50014" meaning-id="0" pos-tag="x" sentence-id="5"\gt {\lt /vim-word\gt \lt vim-word local-id="50015" meaning-id="99983" pos-tag="crd" sentence-id="5"\gt 3\lt /vim-word\gt \lt vim-word local-id="50016" meaning-id="0" pos-tag="x" sentence-id="5"\gt }\lt /vim-word\gt \lt vim-word local-id="50017" meaning-id="0" pos-tag="x" sentence-id="5"\gt {\lt /vim-word\gt \lt vim-word local-id="50018" meaning-id="128442" pos-tag="crd" sentence-id="5"\gt 7\lt /vim-word\gt \lt vim-word local-id="50019" meaning-id="0" pos-tag="x" sentence-id="5"\gt }\lt /vim-word\gt \lt vim-word local-id="50020" meaning-id="0" pos-tag="x" sentence-id="5"\gt }\lt /vim-word\gt \)	\(\lt vim-word local-id="50021" meaning-id="0" pos-tag="n" sentence-id="5"\gt x^\lt /vim-word\gt \lt vim-word local-id="50022" meaning-id="0" pos-tag="x" sentence-id="5"\gt {\lt /vim-word\gt \lt vim-word local-id="50023" meaning-id="0" pos-tag="n" sentence-id="5"\gt \frac\lt /vim-word\gt \lt vim-word local-id="50024" meaning-id="0" pos-tag="x" sentence-id="5"\gt {\lt /vim-word\gt \lt vim-word local-id="50025" meaning-id="94831" pos-tag="crd" sentence-id="5"\gt 2\lt /vim-word\gt \lt vim-word local-id="50026" meaning-id="0" pos-tag="x" sentence-id="5"\gt }\lt /vim-word\gt \lt vim-word local-id="50027" meaning-id="0" pos-tag="x" sentence-id="5"\gt {\lt /vim-word\gt \lt vim-word local-id="50028" meaning-id="58500" pos-tag="crd" sentence-id="5"\gt 10\lt /vim-word\gt \lt vim-word local-id="50029" meaning-id="0" pos-tag="x" sentence-id="5"\gt }\lt /vim-word\gt \lt vim-word local-id="50030" meaning-id="0" pos-tag="x" sentence-id="5"\gt }\lt /vim-word\gt \)	\(\lt vim-word local-id="50031" meaning-id="0" pos-tag="n" sentence-id="5"\gt x^\lt /vim-word\gt \lt vim-word local-id="50032" meaning-id="0" pos-tag="x" sentence-id="5"\gt {\lt /vim-word\gt \lt vim-word local-id="50033" meaning-id="0" pos-tag="n" sentence-id="5"\gt -\frac\lt /vim-word\gt \lt vim-word local-id="50034" meaning-id="0" pos-tag="x" sentence-id="5"\gt {\lt /vim-word\gt \lt vim-word local-id="50035" meaning-id="94831" pos-tag="crd" sentence-id="5"\gt 2\lt /vim-word\gt \lt vim-word local-id="50036" meaning-id="0" pos-tag="x" sentence-id="5"\gt }\lt /vim-word\gt \lt vim-word local-id="50037" meaning-id="0" pos-tag="x" sentence-id="5"\gt {\lt /vim-word\gt \lt vim-word local-id="50038" meaning-id="205695" pos-tag="crd" sentence-id="5"\gt 5\lt /vim-word\gt \lt vim-word local-id="50039" meaning-id="0" pos-tag="x" sentence-id="5"\gt }\lt /vim-word\gt \lt vim-word local-id="50040" meaning-id="0" pos-tag="x" sentence-id="5"\gt }\lt /vim-word\gt \)
\(\lt vim-word local-id="50041" meaning-id="0" pos-tag="n" sentence-id="5"\gt \sqrt\lt /vim-word\gt \lt vim-word local-id="50042" meaning-id="0" pos-tag="n" sentence-id="5"\gt [\lt /vim-word\gt \lt vim-word local-id="50043" meaning-id="22572" pos-tag="r" sentence-id="5"\gt n\lt /vim-word\gt \lt vim-word local-id="50044" meaning-id="0" pos-tag="n" sentence-id="5"\gt ]\lt /vim-word\gt \lt vim-word local-id="50045" meaning-id="0" pos-tag="x" sentence-id="5"\gt {\lt /vim-word\gt \lt vim-word local-id="50046" meaning-id="0" pos-tag="n" sentence-id="5"\gt x^m\lt /vim-word\gt \lt vim-word local-id="50047" meaning-id="0" pos-tag="x" sentence-id="5"\gt }\lt /vim-word\gt \)	[ ]	\(\lt vim-word local-id="50055" meaning-id="0" pos-tag="n" sentence-id="5"\gt \sqrt\lt /vim-word\gt \lt vim-word local-id="50056" meaning-id="0" pos-tag="x" sentence-id="5"\gt [\lt /vim-word\gt \lt vim-word local-id="50057" meaning-id="58500" pos-tag="crd" sentence-id="5"\gt 10\lt /vim-word\gt \lt vim-word local-id="50058" meaning-id="0" pos-tag="n" sentence-id="5"\gt ]\lt /vim-word\gt \lt vim-word local-id="50059" meaning-id="0" pos-tag="x" sentence-id="5"\gt {\lt /vim-word\gt \lt vim-word local-id="50060" meaning-id="0" pos-tag="n" sentence-id="5"\gt x^2\lt /vim-word\gt \lt vim-word local-id="50061" meaning-id="0" pos-tag="x" sentence-id="5"\gt }\lt /vim-word\gt \)	[ ]

\(\lt vim-word local-id="60001" meaning-id="0" pos-tag="r" sentence-id="6"\gt x^\lt /vim-word\gt \lt vim-word local-id="60002" meaning-id="0" pos-tag="x" sentence-id="6"\gt {\lt /vim-word\gt \lt vim-word local-id="60003" meaning-id="0" pos-tag="v" sentence-id="6"\gt \frac\lt /vim-word\gt \lt vim-word local-id="60004" meaning-id="0" pos-tag="x" sentence-id="6"\gt {\lt /vim-word\gt \lt vim-word local-id="60005" meaning-id="185521" pos-tag="n" sentence-id="6"\gt m\lt /vim-word\gt \lt vim-word local-id="60006" meaning-id="0" pos-tag="x" sentence-id="6"\gt }\lt /vim-word\gt \lt vim-word local-id="60007" meaning-id="0" pos-tag="x" sentence-id="6"\gt {\lt /vim-word\gt \lt vim-word local-id="60008" meaning-id="22573" pos-tag="j" sentence-id="6"\gt n\lt /vim-word\gt \lt vim-word local-id="60009" meaning-id="0" pos-tag="x" sentence-id="6"\gt }\lt /vim-word\gt \lt vim-word local-id="60010" meaning-id="0" pos-tag="x" sentence-id="6"\gt }\lt /vim-word\gt \)	\(\lt vim-word local-id="60011" meaning-id="0" pos-tag="n" sentence-id="6"\gt x^\lt /vim-word\gt \lt vim-word local-id="60012" meaning-id="0" pos-tag="x" sentence-id="6"\gt {\lt /vim-word\gt \lt vim-word local-id="60013" meaning-id="0" pos-tag="n" sentence-id="6"\gt -\frac\lt /vim-word\gt \lt vim-word local-id="60014" meaning-id="0" pos-tag="x" sentence-id="6"\gt {\lt /vim-word\gt \lt vim-word local-id="60015" meaning-id="115589" pos-tag="crd" sentence-id="6"\gt 1\lt /vim-word\gt \lt vim-word local-id="60016" meaning-id="0" pos-tag="x" sentence-id="6"\gt }\lt /vim-word\gt \lt vim-word local-id="60017" meaning-id="0" pos-tag="x" sentence-id="6"\gt {\lt /vim-word\gt \lt vim-word local-id="60018" meaning-id="83699" pos-tag="crd" sentence-id="6"\gt 6\lt /vim-word\gt \lt vim-word local-id="60019" meaning-id="0" pos-tag="x" sentence-id="6"\gt }\lt /vim-word\gt \lt vim-word local-id="60020" meaning-id="0" pos-tag="x" sentence-id="6"\gt }\lt /vim-word\gt \)	\(\lt vim-word local-id="60021" meaning-id="0" pos-tag="n" sentence-id="6"\gt x^\lt /vim-word\gt \lt vim-word local-id="60022" meaning-id="0" pos-tag="x" sentence-id="6"\gt {\lt /vim-word\gt \lt vim-word local-id="60023" meaning-id="0" pos-tag="n" sentence-id="6"\gt \frac\lt /vim-word\gt \lt vim-word local-id="60024" meaning-id="0" pos-tag="x" sentence-id="6"\gt {\lt /vim-word\gt \lt vim-word local-id="60025" meaning-id="115589" pos-tag="crd" sentence-id="6"\gt 1\lt /vim-word\gt \lt vim-word local-id="60026" meaning-id="0" pos-tag="x" sentence-id="6"\gt }\lt /vim-word\gt \lt vim-word local-id="60027" meaning-id="0" pos-tag="x" sentence-id="6"\gt {\lt /vim-word\gt \lt vim-word local-id="60028" meaning-id="49023" pos-tag="crd" sentence-id="6"\gt 8\lt /vim-word\gt \lt vim-word local-id="60029" meaning-id="0" pos-tag="x" sentence-id="6"\gt }\lt /vim-word\gt \lt vim-word local-id="60030" meaning-id="0" pos-tag="x" sentence-id="6"\gt }\lt /vim-word\gt \)	\(\lt vim-word local-id="60031" meaning-id="0" pos-tag="n" sentence-id="6"\gt x^\lt /vim-word\gt \lt vim-word local-id="60032" meaning-id="0" pos-tag="x" sentence-id="6"\gt {\lt /vim-word\gt \lt vim-word local-id="60033" meaning-id="0" pos-tag="crd" sentence-id="6"\gt 0,2\lt /vim-word\gt \lt vim-word local-id="60034" meaning-id="0" pos-tag="x" sentence-id="6"\gt }\lt /vim-word\gt \)
\(\lt vim-word local-id="60035" meaning-id="0" pos-tag="n" sentence-id="6"\gt \sqrt\lt /vim-word\gt \lt vim-word local-id="60036" meaning-id="0" pos-tag="n" sentence-id="6"\gt [\lt /vim-word\gt \lt vim-word local-id="60037" meaning-id="22575" pos-tag="r" sentence-id="6"\gt n\lt /vim-word\gt \lt vim-word local-id="60038" meaning-id="0" pos-tag="n" sentence-id="6"\gt ]\lt /vim-word\gt \lt vim-word local-id="60039" meaning-id="0" pos-tag="x" sentence-id="6"\gt {\lt /vim-word\gt \lt vim-word local-id="60040" meaning-id="0" pos-tag="n" sentence-id="6"\gt x^m\lt /vim-word\gt \lt vim-word local-id="60041" meaning-id="0" pos-tag="x" sentence-id="6"\gt }\lt /vim-word\gt \)	\(\lt vim-word local-id="60042" meaning-id="0" pos-tag="n" sentence-id="6"\gt \sqrt\lt /vim-word\gt \lt vim-word local-id="60043" meaning-id="0" pos-tag="x" sentence-id="6"\gt [\lt /vim-word\gt \lt vim-word local-id="60044" meaning-id="83699" pos-tag="crd" sentence-id="6"\gt 6\lt /vim-word\gt \lt vim-word local-id="60045" meaning-id="0" pos-tag="n" sentence-id="6"\gt ]\lt /vim-word\gt \lt vim-word local-id="60046" meaning-id="0" pos-tag="x" sentence-id="6"\gt {\lt /vim-word\gt \lt vim-word local-id="60047" meaning-id="0" pos-tag="n" sentence-id="6"\gt x^\lt /vim-word\gt \lt vim-word local-id="60048" meaning-id="0" pos-tag="x" sentence-id="6"\gt {\lt /vim-word\gt \lt vim-word local-id="60049" meaning-id="0" pos-tag="n" sentence-id="6"\gt -1\lt /vim-word\gt \lt vim-word local-id="60050" meaning-id="0" pos-tag="x" sentence-id="6"\gt }\lt /vim-word\gt \lt vim-word local-id="60051" meaning-id="0" pos-tag="x" sentence-id="6"\gt }\lt /vim-word\gt \)	[ ]	[ ]