Question

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Answer 1

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Jawaban:

untuk soal k

[tex] \frac{ {4}^{5} \times {5}^{6} \times {3}^{4} }{ {3}^{2} \times {4}^{3} \times {5}^{4}} \\ = {3}^{(4 - 2)} \times {4}^{(5 - 3)} \times {5}^{(6 - 4)} \\ = {3}^{2} \times {4}^{2} \times {5}^{2} \\ = {(3 \times 4 \times 5)}^{2} \\ = {60}^{2} \\ = 3600[/tex]

untuk soal i

[tex] \frac{ {49}^{3} \times {8}^{6} }{ {7}^{5} \times {2}^{16} } \\ = \frac{ {( {7}^{2}) }^{3} \times {( {2}^{3} )}^{6} }{ {7}^{5} \times {2}^{16} } \\ = {7}^{(6 - 5)} \times {2}^{(18 - 16)} \\ = {7}^{1} \times {2}^{2} \\ = 7 \times 4 \\ = 28[/tex]

untuk soal j

[tex] \frac{ {2}^{5} \times {25}^{6} \times {9}^{7} }{ {16}^{2} \times {5}^{12} \times {27}^{2}} \\ = \frac{ {2}^{5} \times {( {5}^{2} )}^{6} \times {( {3}^{2}) }^{7} }{ {( {2}^{4} )}^{2} \times {5}^{12} \times {( {3}^{3} )}^{2} } \\ = {2}^{(5 -8) } \times {3}^{(14 - 6)} \times {5}^{(12 - 12)} \\ = {2}^{ - 3} \times {3}^{8} \times {5}^{0} \\ = \frac{ {3}^{8} \times {5}^{0} }{ {2}^{3} } \\ = \frac{ {3}^{8} \times 1 }{ {2}^{3} } \\ = \frac{ {3}^{8} }{ {2}^{3} } [/tex]