27. Bentuk sederhana
[tex] \frac{ ({ \frac{1}{5}) }^{ \frac{3}{4} } }{ ({ \frac{4}{100}) }^{ \frac{2}{5} } \times ({ \frac{16}{10000} )}^{ \frac{3}{2} } } [/tex]
[tex] = \frac{ ({ \frac{1}{5}) }^{ \frac{3}{4} } }{ ({ \frac{1}{25}) }^{ \frac{2}{5} } \times ({ \frac{1}{625} )}^{ \frac{3}{2} } } [/tex]
[tex] = \frac{ ({ {5}^{ - 1} ) }^{ \frac{3}{4} } }{ ({ {5}^{ - 2} ) }^{ \frac{2}{5} } \times ({ {5}^{ - 4} )}^{ \frac{3}{2} } } [/tex]
[tex] = {5}^{ \frac{ - 3}{4} } \times {5}^{ \frac{4}{5} } \times {5}^{ \frac{12}{2} } [/tex]
[tex] = {5}^{ \frac{ - 3}{4} + \frac{4}{5} + \frac{12}{2} } [/tex]
[tex] = {5}^{ \frac{ - 15 + 16 + 120}{20} } [/tex]
[tex] = {5}^{ \frac{121}{20} } [/tex]
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28. Hasil dari
[tex] = (( {4}^{3} ) {}^{ \frac{2}{3} } \times ( {3}^{3} ) {}^{ \frac{1}{3} } - 18(( \frac{3}{4} ) {}^{2} ) {}^{ \frac{1}{2} } + 1) \div ( \frac{1}{9} \times ( {5}^{2} ) {}^{ \frac{3}{2} } )[/tex]
[tex] = ( {4}^{2} \times 3 - 13.5 + 1) \div ( \frac{125}{9} )[/tex]
[tex] = (49 - 13.5) \times \frac{9}{125} [/tex]
[tex] = 35.5 \times \frac{9}{125} [/tex]
= 2,556
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Verified answer
27. Bentuk sederhana
[tex] \frac{ ({ \frac{1}{5}) }^{ \frac{3}{4} } }{ ({ \frac{4}{100}) }^{ \frac{2}{5} } \times ({ \frac{16}{10000} )}^{ \frac{3}{2} } } [/tex]
[tex] = \frac{ ({ \frac{1}{5}) }^{ \frac{3}{4} } }{ ({ \frac{1}{25}) }^{ \frac{2}{5} } \times ({ \frac{1}{625} )}^{ \frac{3}{2} } } [/tex]
[tex] = \frac{ ({ {5}^{ - 1} ) }^{ \frac{3}{4} } }{ ({ {5}^{ - 2} ) }^{ \frac{2}{5} } \times ({ {5}^{ - 4} )}^{ \frac{3}{2} } } [/tex]
[tex] = {5}^{ \frac{ - 3}{4} } \times {5}^{ \frac{4}{5} } \times {5}^{ \frac{12}{2} } [/tex]
[tex] = {5}^{ \frac{ - 3}{4} + \frac{4}{5} + \frac{12}{2} } [/tex]
[tex] = {5}^{ \frac{ - 15 + 16 + 120}{20} } [/tex]
[tex] = {5}^{ \frac{121}{20} } [/tex]
opsi B.✔️
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28. Hasil dari
[tex] = (( {4}^{3} ) {}^{ \frac{2}{3} } \times ( {3}^{3} ) {}^{ \frac{1}{3} } - 18(( \frac{3}{4} ) {}^{2} ) {}^{ \frac{1}{2} } + 1) \div ( \frac{1}{9} \times ( {5}^{2} ) {}^{ \frac{3}{2} } )[/tex]
[tex] = ( {4}^{2} \times 3 - 13.5 + 1) \div ( \frac{125}{9} )[/tex]
[tex] = (49 - 13.5) \times \frac{9}{125} [/tex]
[tex] = 35.5 \times \frac{9}{125} [/tex]
= 2,556
opsi E ✔️
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