Thursday, May 16, 2019

Tugas Semester 2

May 16, 2019    No comments

6. (UN Mat SMA/MA IPA 2014) Bentuk sederhana dari (\frac{3a^{-2}b^{3}c^{4}}{15a^{3}b^{-5}c^{-2}})^{-1} adalah ….
Jawab:
(\frac{3a^{-2}b^{3}c^{4}}{15a^{3}b^{-5}c^{-2}})^{-1}=(\frac{15a^{3}b^{-5}c^{-2}}{3a^{-2}b^{3}c^{4}})=5a^{3+2}b^{-5-3}c^{-2-4}=\frac{5a^{5}}{b^{8}c^{6}}.
7. (UN Mat SMA/MA IPA 2014) Bentuk sederhana dari  (\frac{3a^{-2}bc^{-3}}{24a^{5}b^{-3}c})^{-1} adalah ….
Jawab:
(\frac{3a^{-2}bc^{-3}}{24a^{5}b^{-3}c})^{-1}=(\frac{24a^{5}b^{-3}c}{3a^{-2}bc^{-3}})=8a^{5+2}b^{-3-1}c^{1+3}=\frac{8a^{7}c^{4}}{b^{4}}.
8. (UN Mat SMA/MA IPA 2014) Bentuk sederhana dari \frac{6}{3-2\sqrt{2}} adalah ….
Jawab:
\frac{6}{3-2\sqrt{2}}=\frac{6}{3-2\sqrt{2}}.(\frac{3+2\sqrt{2}}{3+2\sqrt{2}})=\frac{6(3+2\sqrt{2})}{9-8}=18+12\sqrt{2}.
9. (UN Mat SMA/MA IPA 2014) Bentuk sederhana dari \frac{9}{2\sqrt{2}-\sqrt{5}}=....
Jawab:
\frac{9}{2\sqrt{2}-\sqrt{5}}=\frac{9}{2\sqrt{2}-\sqrt{5}}.(\frac{2\sqrt{2}+\sqrt{5}}{2\sqrt{2}+\sqrt{5}})=\frac{9.(2\sqrt{2}+\sqrt{5})}{8-5}=3(2\sqrt{2}+\sqrt{5}).
10. (UN Mat SMA/MA IPA 2014) Bentuk sederhana dari  \frac{12}{3\sqrt{2}-2\sqrt{3}} adalah ….
Jawab:
\frac{12}{3\sqrt{2}-2\sqrt{3}}=\frac{12}{3\sqrt{2}-2\sqrt{3}}.(\frac{3\sqrt{2}+2\sqrt{3}}{3\sqrt{2}+2\sqrt{3}})=\frac{12(3\sqrt{2}+2\sqrt{3})}{18-12}=2(3\sqrt{2}+2\sqrt{3}).

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