Matematika Sekolah Menengah Atas selamat malem kakak mohon di bantu jawabnnya sama jalannya kak:)

selamat malem kakak mohon di bantu jawabnnya sama jalannya kak:)

Penjelasan dengan langkah-langkah:

a.

[tex] \frac{5 ^{3} \times {5}^{ - 2} }{ {5}^{2} } \\ \frac{5}{{5}^{2} } \\ = \frac{1}{5} [/tex]

b.

[tex] {3}^{5} \times {6}^{ - 5} \\ {3}^{5} \times \frac{1}{ {6}^{5} } \\ {3}^{5} \times \frac{1}{{2}^{5} \times {3}^{5} } \\ \frac{1}{ {2}^{5} } \\ = \frac{1}{32} [/tex]

c.

[tex] \frac{( {3}^{2} \times {5}^{ - 2} }{ {15}^{ - 1} } \\ \frac{ {3}^{6} \times {5}^{ - 2} }{ {5}^{ - 1} \times {3}^{ - 1} } \\ \frac{ {3}^{7} }{5} \\ = \frac{2187}{5} [/tex]

d.

[tex] \frac{ {2}^{4} \times {5}^{ - 3} \times {9}^{2} }{8 \times {3}^{6} \times {125}^{ - 1 } } \\ \frac{ {2}^{4} \times {5}^{ - 3} \times {3}^{4} }{ {2}^{3} \times {3}^{6} \times {5}^{ - 3} } \\ \frac{2}{ {3}^{2} } \\ = \frac{2}{9} [/tex]

e.

[tex] \frac{ \sqrt[4]{32} \times \sqrt{4} }{ {2}^{ - 1} } \\ \frac{ \sqrt[4]{32} \times 2 }{ {2}^{ - 1} } \\ \sqrt[4]{32} \times {2}^{2} \\ 2 \sqrt[4]{2} \times 2 \\ {2}^{3} \sqrt[4]{2} \\ = 8 \sqrt[4]{2} [/tex]

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