Matematika

Pertanyaan

Sederhanakan bentuk bentuk pecahan berikut
a. 2^1/2 x 2^1/2
b. 5^3/3 per 5^6/3
c. (4^1/2)^7/4
d. 3^negatif 1/2 x 3^negatif3/2 per
3^negatif 1
Tolong ya kaka

1 Jawaban


  • [tex] {2}^{ \frac{1}{2} } \times {2}^{ \frac{1}{2} } = {2}^{ \frac{1}{4} }[/tex]
    2)
    [tex] \frac{ {5}^{ \frac{3}{3} } }{5 {}^{ \frac{6}{3} } } = \frac{5}{ {5}^{2} } = \frac{1}{5} \\ [/tex]
    3)
    [tex]( {4}^{ \frac{1}{2} } ) {}^{ \frac{7}{4} } = 4 {}^{ \frac{7}{8} } = {2}^{2 \times \frac{7}{8} } = {2}^{ \frac{7}{4} } [/tex]
    4)
    [tex] {3}^{ - \frac{1}{2} } \times {3}^{ - \frac{3}{2} } \div {3}^{ - 1} \\ \frac{1}{ {3}^{ \frac{1}{2} } } \times \frac{1}{ {3}^{ \frac{3}{2} } } \div \frac{1}{3} \\ \frac{1}{ {3}^{ \frac{4}{2} } } \times \frac{3}{1} \\ \frac{1}{9} \times 3 = \frac{1}{3} [/tex]

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