Matematika

Pertanyaan

nyatakan dalam bentuk sederhana ((a^2/3)/b^1/2)^-1(a^2/3xb^1/2):b^1/2/a^1/3

1 Jawaban


  • [tex] \frac{((a {}^{ \frac{2}{3} } ) \div b {}^{ \frac{1}{2} } ) {}^{ - 1} (a {}^{ \frac{2}{3} } \times b {}^{ \frac{1}{2} }) }{(b {}^{ \frac{1}{2} } ) \div (a {}^{ \frac{1}{3} }) } \\ = \frac{ (\frac{a {}^{ \frac{2}{3} } }{b {}^{ \frac{1}{2} } }) {}^{ - 1} \times a {}^{ \frac{2}{3} } b {}^{ \frac{1}{2} } }{ \frac{b {}^{ \frac{1}{2} } }{a {}^{ \frac{1}{3} } } } \\ = (\frac{a {}^{ \frac{2}{3}} }{b {}^{ \frac{1}{2} } } ) {}^{ - 1} \times a \\ = \frac{b {}^{ \frac{1}{2} } }{a {}^{ \frac{2}{3} } } \times a \\ = a {}^{ \frac{1}{3} } b {}^{ \frac{1}{2} } \\ = \sqrt[3]{a} \sqrt{b} \\ = \sqrt[6]{a {}^{2} } \sqrt[6]{b {}^{3} } \\ = \sqrt[6]{a {}^{2}b {}^{3} } [/tex]

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