tolong di jawab bang 1 - 5
Matematika
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Pertanyaan
tolong di jawab bang
1 - 5
1 - 5
1 Jawaban
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1. Jawaban Milieth
1)
[tex]216^{ \frac{2}{3}}=\sqrt[3]{216^{2}}[/tex]
=[tex]\sqrt[3]{46.656}[/tex]
=36
2)
[tex]256^{ \frac{3}{4}}=\sqrt[4]{256^{3}}[/tex]
=4³
=64
3)
[tex]8^{ -\frac{4}{3}}.9^{ \frac{1}{2} }[/tex]=[tex](\frac{1}{8})^{ \frac{4}{3}}. \sqrt{9} [/tex]
=[tex]\sqrt[3]{(\frac{1}{8})^{4}}.3 [/tex]
=[tex]\sqrt[3]{(\frac{1}{4096})}.3 [/tex]
=[tex] \frac{1}{16} .3 [/tex]
=[tex] \frac{3}{16}[/tex]
4)
[tex]27^{-\frac{1}{3}}.32^{-\frac{2}{3} }[/tex]=[tex]\frac{1}{27}^{\frac{1}{3}}. \frac{1}{32}^{\frac{2}{3} }[/tex]
=[tex] \sqrt[3]{\frac{1}{27}}. \sqrt[3]{\frac{1}{32}^{2}}[/tex]
=[tex]\frac{1}{3}.\sqrt[3]{\frac{1}{1024} }[/tex]
=[tex] \frac{1}{3}.\frac{1}{16 \sqrt[3]{4}}[/tex]
=[tex] \frac{1}{48\sqrt[3]{4} }[/tex]
5)
[tex] \sqrt[5]{32^{3}}. \sqrt[3]{125^{2}}=8.25[/tex]
=200