Ответ:
[tex]-4; \quad -63; \quad 4;[/tex]
Объяснение:
[tex]\dfrac{48 \cdot \sqrt{\dfrac{1}{576}}}{-\sqrt{32}} \cdot \sqrt{8}-\dfrac{\sqrt{144}}{4}=\dfrac{48 \cdot \dfrac{\sqrt{1}}{\sqrt{576}}}{-\sqrt{8 \cdot 4}} \cdot \sqrt{8}-\dfrac{12}{4}=\dfrac{48 \cdot \dfrac{1}{24} \cdot \sqrt{8}}{-\sqrt{8} \cdot \sqrt{4}}-3=[/tex]
[tex]=\dfrac{2}{-\sqrt{4}}-3=\dfrac{2}{-2}-3=-1-3=-(1+3)=-4;[/tex]
[tex]9^{\log_{9}27} \cdot \log_{\tfrac{1}{8}}128=27 \cdot \log_{2^{-3}}2^{7}=27 \cdot \dfrac{1}{-3} \cdot \log_{2}2^{7}=-9 \cdot 7=-63;[/tex]
[tex]3\log_{2}5-\log_{2}\dfrac{125}{16}=\log_{2}(5^{3})-(\log_{2}125-\log_{2}16)=\log_{2}125-\log_{2}125+[/tex]
[tex]+\log_{2}16=4;[/tex]
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Answers & Comments
Ответ:
[tex]-4; \quad -63; \quad 4;[/tex]
Объяснение:
[tex]\dfrac{48 \cdot \sqrt{\dfrac{1}{576}}}{-\sqrt{32}} \cdot \sqrt{8}-\dfrac{\sqrt{144}}{4}=\dfrac{48 \cdot \dfrac{\sqrt{1}}{\sqrt{576}}}{-\sqrt{8 \cdot 4}} \cdot \sqrt{8}-\dfrac{12}{4}=\dfrac{48 \cdot \dfrac{1}{24} \cdot \sqrt{8}}{-\sqrt{8} \cdot \sqrt{4}}-3=[/tex]
[tex]=\dfrac{2}{-\sqrt{4}}-3=\dfrac{2}{-2}-3=-1-3=-(1+3)=-4;[/tex]
[tex]9^{\log_{9}27} \cdot \log_{\tfrac{1}{8}}128=27 \cdot \log_{2^{-3}}2^{7}=27 \cdot \dfrac{1}{-3} \cdot \log_{2}2^{7}=-9 \cdot 7=-63;[/tex]
[tex]3\log_{2}5-\log_{2}\dfrac{125}{16}=\log_{2}(5^{3})-(\log_{2}125-\log_{2}16)=\log_{2}125-\log_{2}125+[/tex]
[tex]+\log_{2}16=4;[/tex]